*****************************************************
Run parameters:
Version no             : 01
Number of observations : 500
Number of iterations   : 1000
Uniform age dist       : 1 (u)
Thresholds             :
Simulated data values:
Urban %                : 70 80 90 95
Homeowner %            : 70 80 90 95
Degree %               : 15 10 5
White %                : 90 95 99
Files:
Log file               : C:\Users\fj-ritchie\OneDrive - UWE Bristol (Staff)\research\papers\10 is the safest number\\data_v01_obs500_its1000_uniform1_simulated LFS LFSlowpay charity.smcl
Results file           : C:\Users\fj-ritchie\OneDrive - UWE Bristol (Staff)\research\papers\10 is the safest number\results_u500_caseN_act/sim
*****************************************************
Conceptual analysis using simulated data
========================================
Calculations for Case 1...
Case 1: z=70  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    15,161     35,070 |    50,231
         1 |    14,892     34,862 |    49,754
         2 |    14,956     34,986 |    49,942
         3 |    15,032     34,966 |    49,998
         4 |    14,987     35,140 |    50,127
         5 |    14,974     34,615 |    49,589
         6 |    14,939     35,214 |    50,153
         7 |    15,153     34,963 |    50,116
         8 |    14,850     35,371 |    50,221
         9 |    15,047     34,822 |    49,869
-----------+----------------------+----------
     Total |   149,991    350,009 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    10,613     24,414 |    35,027
         1 |    10,363     24,496 |    34,859
         2 |    10,428     24,548 |    34,976
         3 |    10,539     24,544 |    35,083
         4 |    10,461     24,544 |    35,005
         5 |    10,498     24,250 |    34,748
         6 |    10,451     24,583 |    35,034
         7 |    10,647     24,459 |    35,106
         8 |    10,417     24,885 |    35,302
         9 |    10,506     24,521 |    35,027
-----------+----------------------+----------
     Total |   104,923    245,244 |   350,167


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     4,548     10,656 |    15,204
         1 |     4,529     10,366 |    14,895
         2 |     4,528     10,438 |    14,966
         3 |     4,493     10,422 |    14,915
         4 |     4,526     10,596 |    15,122
         5 |     4,476     10,365 |    14,841
         6 |     4,488     10,631 |    15,119
         7 |     4,506     10,504 |    15,010
         8 |     4,433     10,486 |    14,919
         9 |     4,541     10,301 |    14,842
-----------+----------------------+----------
     Total |    45,068    104,765 |   149,833

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |       145        147        150        156        172        209        252        321        421        525        638        726        810        973        991        997 |     7,633
       .05 |       369        370        374        379        389        396        422        427        386        344        288        238        174         27          9          3 |     4,595
        .1 |       274        271        269        267        261        245        222        177        148        103         62         29         14          0          0          0 |     2,342
       .15 |       153        155        152        149        131        116         83         60         38         25         11          6          2          0          0          0 |     1,081
        .2 |        42         40         40         35         34         25         14         13          7          3          1          1          0          0          0          0 |       255
       .25 |        16         16         14         13         12          8          7          2          0          0          0          0          0          0          0          0 |        88
        .3 |         1          1          1          1          1          1          0          0          0          0          0          0          0          0          0          0 |         6
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         40 |        40
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1        153 |       154
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         26        350 |       376
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1        199        340 |       540
        .5 |         0          0          0          0          0          0          0          0          0          0          0          1          1        269        707        116 |     1,094
       .55 |         0          0          0          0          0          0          0          0          0          0          0          1          2        396         66          0 |       465
        .6 |         0          0          0          0          0          0          0          0          0          0          0          0         17        251          1          0 |       269
       .65 |         0          0          0          0          0          0          0          0          0          0          3         11         71         69          0          0 |       154
        .7 |         0          0          0          0          0          0          0          0          1          2         21         76        189         13          0          0 |       302
       .75 |         0          0          0          0          0          0          0          0          0         11         52        164        250          1          0          0 |       478
        .8 |         0          0          0          0          0          0          0          3         13         69        163        247        234          0          0          0 |       729
       .85 |         0          0          0          0          0          0          3         16         75        176        290        267        163          0          0          0 |       990
        .9 |         0          0          0          0          3          7         31        108        209        290        264        169         66          0          0          0 |     1,147
       .95 |         0          1          7         24         53        127        234        360        401        320        167         58          7          0          0          0 |     1,759
         1 |     1,000        999        993        976        944        866        732        513        301        132         40          6          0          0          0          0 |     7,502
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        156 |       156
       .05 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          5        345 |       350
        .1 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         25        327 |       352
       .15 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0        115        145 |       260
        .2 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0        225         25 |       250
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          3        305          2 |       310
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0         23        216          0 |       239
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0        121         88          0 |       209
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          2        327         17          0 |       346
       .45 |         0          0          0          0          0          0          0          0          0          0          1         13         36        355          3          0 |       408
        .5 |         0          0          0          0          0          0          0          0          1          8         52        158        332        163          1          0 |       715
       .55 |         0          0          0          0          0          0          0          1         13         54        178        321        387          8          0          0 |       962
        .6 |         0          0          0          0          0          0          0          7         51        166        315        318        188          0          0          0 |     1,045
       .65 |         0          0          0          0          0          1          7         30        126        250        244        129         43          0          0          0 |       830
        .7 |         0          0          0          0          1          1         13         95        244        275        148         47         10          0          0          0 |       834
       .75 |         0          0          0          0          1         10         74        209        255        162         53         13          2          0          0          0 |       779
        .8 |         0          0          0          0          7         48        180        278        189         68          8          1          0          0          0          0 |       779
       .85 |         0          0          0          4         42        192        277        227         84         14          1          0          0          0          0          0 |       841
        .9 |         0          0          9         57        206        311        279        115         30          3          0          0          0          0          0          0 |     1,010
       .95 |         8         52        151        318        380        303        134         31          7          0          0          0          0          0          0          0 |     1,384
         1 |       992        948        840        621        363        134         36          7          0          0          0          0          0          0          0          0 |     3,941
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |       145        855 |     1,000
         4 |       147        853 |     1,000
         5 |       150        850 |     1,000
         6 |       156        844 |     1,000
         7 |       172        828 |     1,000
         8 |       209        791 |     1,000
         9 |       252        748 |     1,000
        10 |       321        679 |     1,000
        11 |       421        579 |     1,000
        12 |       525        475 |     1,000
        13 |       638        362 |     1,000
        14 |       726        274 |     1,000
        15 |       810        190 |     1,000
        20 |       973         27 |     1,000
        25 |       991          9 |     1,000
        30 |       997          3 |     1,000
-----------+----------------------+----------
     Total |     7,633      8,367 |    16,000

Case 1: z=80  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    15,161     35,070 |    50,231
         1 |    14,892     34,862 |    49,754
         2 |    14,956     34,986 |    49,942
         3 |    15,032     34,966 |    49,998
         4 |    14,987     35,140 |    50,127
         5 |    14,974     34,615 |    49,589
         6 |    14,939     35,214 |    50,153
         7 |    15,153     34,963 |    50,116
         8 |    14,850     35,371 |    50,221
         9 |    15,047     34,822 |    49,869
-----------+----------------------+----------
     Total |   149,991    350,009 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    12,158     28,000 |    40,158
         1 |    11,858     28,047 |    39,905
         2 |    11,906     28,049 |    39,955
         3 |    12,017     28,009 |    40,026
         4 |    11,967     27,998 |    39,965
         5 |    11,961     27,688 |    39,649
         6 |    11,935     28,150 |    40,085
         7 |    12,103     27,930 |    40,033
         8 |    11,866     28,403 |    40,269
         9 |    12,012     27,821 |    39,833
-----------+----------------------+----------
     Total |   119,783    280,095 |   399,878


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     3,003      7,070 |    10,073
         1 |     3,034      6,815 |     9,849
         2 |     3,050      6,937 |     9,987
         3 |     3,015      6,957 |     9,972
         4 |     3,020      7,142 |    10,162
         5 |     3,013      6,927 |     9,940
         6 |     3,004      7,064 |    10,068
         7 |     3,050      7,033 |    10,083
         8 |     2,984      6,968 |     9,952
         9 |     3,035      7,001 |    10,036
-----------+----------------------+----------
     Total |    30,208     69,914 |   100,122

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         6          6          6          6          7         12         16         20         33         64        111        198        300        696        793        874 |     3,148
       .05 |        39         40         41         43         47         57         71        104        147        217        301        361        384        263        193        120 |     2,428
        .1 |       125        124        124        127        139        149        176        225        279        299        286        261        217         36         13          6 |     2,586
       .15 |       196        197        201        204        199        223        247        242        258        237        195        134         83          5          1          0 |     2,622
        .2 |       268        271        272        274        281        269        269        241        170        119         75         37         13          0          0          0 |     2,559
       .25 |       210        207        204        200        192        174        131        107         76         45         27          7          3          0          0          0 |     1,583
        .3 |       104        103        101         97         90         78         61         44         30         16          5          2          0          0          0          0 |       731
       .35 |        38         38         37         36         35         29         22         13          7          3          0          0          0          0          0          0 |       258
        .4 |        12         12         12         11          8          7          6          4          0          0          0          0          0          0          0          0 |        72
       .45 |         2          2          2          2          2          2          1          0          0          0          0          0          0          0          0          0 |        13
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         40 |        40
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1        153 |       154
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         26        350 |       376
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1        199        340 |       540
        .5 |         0          0          0          0          0          0          0          0          0          0          0          1          1        269        707        116 |     1,094
       .55 |         0          0          0          0          0          0          0          0          0          0          0          1          2        396         66          0 |       465
        .6 |         0          0          0          0          0          0          0          0          0          0          0          0         17        251          1          0 |       269
       .65 |         0          0          0          0          0          0          0          0          0          0          3         11         71         69          0          0 |       154
        .7 |         0          0          0          0          0          0          0          0          1          2         21         76        189         13          0          0 |       302
       .75 |         0          0          0          0          0          0          0          0          0         11         52        164        250          1          0          0 |       478
        .8 |         0          0          0          0          0          0          0          3         13         69        163        247        234          0          0          0 |       729
       .85 |         0          0          0          0          0          0          3         16         75        176        290        267        163          0          0          0 |       990
        .9 |         0          0          0          0          3          7         31        108        209        290        264        169         66          0          0          0 |     1,147
       .95 |         0          1          7         24         53        127        234        360        401        320        167         58          7          0          0          0 |     1,759
         1 |     1,000        999        993        976        944        866        732        513        301        132         40          6          0          0          0          0 |     7,502
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          3 |         3
       .05 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         28 |        28
        .1 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        126 |       126
       .15 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        258 |       258
        .2 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          4        311 |       315
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         42        173 |       215
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0        149         88 |       237
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          4        316         13 |       333
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0         42        306          0 |       348
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0        258        164          0 |       422
        .5 |         0          0          0          0          0          0          0          0          0          0          2         20         73        592         19          0 |       706
       .55 |         0          0          0          0          0          0          0          0          1          3         25         96        252        100          0          0 |       477
        .6 |         0          0          0          0          0          0          0          0          3         18         79        251        318          4          0          0 |       673
       .65 |         0          0          0          0          0          0          0          3         11         80        205        263        224          0          0          0 |       786
        .7 |         0          0          0          0          0          1          2          7         47        171        281        218        105          0          0          0 |       832
       .75 |         0          0          0          0          0          1          5         46        155        253        230        116         25          0          0          0 |       831
        .8 |         0          0          0          0          0          0         31        121        267        238        125         31          2          0          0          0 |       815
       .85 |         0          0          0          0          3         40        136        248        260        169         41          5          1          0          0          0 |       903
        .9 |         0          0          0          9         57        163        281        321        176         48         10          0          0          0          0          0 |     1,065
       .95 |         2         18         62        155        285        382        362        197         69         19          2          0          0          0          0          0 |     1,553
         1 |       998        982        938        836        655        413        183         57         11          1          0          0          0          0          0          0 |     5,074
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         6        994 |     1,000
         4 |         6        994 |     1,000
         5 |         6        994 |     1,000
         6 |         6        994 |     1,000
         7 |         7        993 |     1,000
         8 |        12        988 |     1,000
         9 |        16        984 |     1,000
        10 |        20        980 |     1,000
        11 |        33        967 |     1,000
        12 |        64        936 |     1,000
        13 |       111        889 |     1,000
        14 |       198        802 |     1,000
        15 |       300        700 |     1,000
        20 |       696        304 |     1,000
        25 |       793        207 |     1,000
        30 |       874        126 |     1,000
-----------+----------------------+----------
     Total |     3,148     12,852 |    16,000

Case 1: z=90  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    15,161     35,070 |    50,231
         1 |    14,892     34,862 |    49,754
         2 |    14,956     34,986 |    49,942
         3 |    15,032     34,966 |    49,998
         4 |    14,987     35,140 |    50,127
         5 |    14,974     34,615 |    49,589
         6 |    14,939     35,214 |    50,153
         7 |    15,153     34,963 |    50,116
         8 |    14,850     35,371 |    50,221
         9 |    15,047     34,822 |    49,869
-----------+----------------------+----------
     Total |   149,991    350,009 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    13,644     31,480 |    45,124
         1 |    13,386     31,428 |    44,814
         2 |    13,459     31,491 |    44,950
         3 |    13,505     31,472 |    44,977
         4 |    13,476     31,592 |    45,068
         5 |    13,470     31,063 |    44,533
         6 |    13,437     31,663 |    45,100
         7 |    13,623     31,431 |    45,054
         8 |    13,393     31,880 |    45,273
         9 |    13,559     31,328 |    44,887
-----------+----------------------+----------
     Total |   134,952    314,828 |   449,780


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     1,517      3,590 |     5,107
         1 |     1,506      3,434 |     4,940
         2 |     1,497      3,495 |     4,992
         3 |     1,527      3,494 |     5,021
         4 |     1,511      3,548 |     5,059
         5 |     1,504      3,552 |     5,056
         6 |     1,502      3,551 |     5,053
         7 |     1,530      3,532 |     5,062
         8 |     1,457      3,491 |     4,948
         9 |     1,488      3,494 |     4,982
-----------+----------------------+----------
     Total |    15,039     35,181 |    50,220

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0          0          0          0          0          0          3          4         23         41        117 |       188
       .05 |         0          0          0          0          0          0          1          1          1          1          4         11         18        105        161        294 |       597
        .1 |         0          0          0          1          1          1          0          2          3          6         15         32         60        211        288        306 |       926
       .15 |         5          5          5          4          4          5         11         11         18         35         56         84        135        269        264        188 |     1,099
        .2 |        16         16         16         17         18         20         21         29         49         79        113        155        191        200        153         66 |     1,159
       .25 |        44         44         46         45         48         54         67         80        119        144        169        196        208        118         58         23 |     1,463
        .3 |        98         99         99        105        109        117        126        149        145        176        196        179        157         51         27          6 |     1,839
       .35 |       127        126        126        127        127        130        139        160        180        176        150        156        111         18          8          0 |     1,861
        .4 |       172        173        171        166        165        167        181        167        172        152        140         93         68          4          0          0 |     1,991
       .45 |       173        173        174        179        178        180        166        167        136        119         87         54         33          1          0          0 |     1,820
        .5 |       168        167        168        162        163        152        141        115        101         64         41         28          8          0          0          0 |     1,478
       .55 |       113        113        111        111        109        102         87         73         45         28         20          5          4          0          0          0 |       921
        .6 |        48         49         49         49         47         41         37         26         20         13          7          3          3          0          0          0 |       392
       .65 |        21         20         20         19         17         17         12         12          8          5          1          1          0          0          0          0 |       153
        .7 |        13         13         13         13         12         13         10          8          3          2          1          0          0          0          0          0 |       101
       .75 |         2          2          2          2          2          1          1          0          0          0          0          0          0          0          0          0 |        12
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         40 |        40
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1        153 |       154
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         26        350 |       376
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1        199        340 |       540
        .5 |         0          0          0          0          0          0          0          0          0          0          0          1          1        269        707        116 |     1,094
       .55 |         0          0          0          0          0          0          0          0          0          0          0          1          2        396         66          0 |       465
        .6 |         0          0          0          0          0          0          0          0          0          0          0          0         17        251          1          0 |       269
       .65 |         0          0          0          0          0          0          0          0          0          0          3         11         71         69          0          0 |       154
        .7 |         0          0          0          0          0          0          0          0          1          2         21         76        189         13          0          0 |       302
       .75 |         0          0          0          0          0          0          0          0          0         11         52        164        250          1          0          0 |       478
        .8 |         0          0          0          0          0          0          0          3         13         69        163        247        234          0          0          0 |       729
       .85 |         0          0          0          0          0          0          3         16         75        176        290        267        163          0          0          0 |       990
        .9 |         0          0          0          0          3          7         31        108        209        290        264        169         66          0          0          0 |     1,147
       .95 |         0          1          7         24         53        127        234        360        401        320        167         58          7          0          0          0 |     1,759
         1 |     1,000        999        993        976        944        866        732        513        301        132         40          6          0          0          0          0 |     7,502
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .15 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          8 |         8
        .2 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         47 |        47
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        193 |       193
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        296 |       296
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         46        285 |       331
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1        199        146 |       346
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0         37        401         23 |       461
        .5 |         0          0          0          0          0          0          0          0          0          0          1          3          8        576        350          2 |       940
       .55 |         0          0          0          0          0          0          0          0          0          1          1          7         43        310          4          0 |       366
        .6 |         0          0          0          0          0          0          0          0          0          1          3         47        142         69          0          0 |       262
       .65 |         0          0          0          0          0          0          0          0          1          2         27        120        247          6          0          0 |       403
        .7 |         0          0          0          0          0          0          0          1          3         36        127        251        269          1          0          0 |       688
       .75 |         0          0          0          0          0          0          0          2         24         94        220        244        178          0          0          0 |       762
        .8 |         0          0          0          0          0          0          2         20         87        220        264        193         86          0          0          0 |       872
       .85 |         0          0          0          0          0          1         22        106        230        293        208        100         24          0          0          0 |       984
        .9 |         0          0          0          1         11         52        142        242        298        226        114         30          3          0          0          0 |     1,119
       .95 |         0          6         20         66        134        240        374        377        275        102         30          4          0          0          0          0 |     1,628
         1 |     1,000        994        980        933        855        707        460        252         82         25          5          1          0          0          0          0 |     6,294
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         0      1,000 |     1,000
         4 |         0      1,000 |     1,000
         5 |         0      1,000 |     1,000
         6 |         0      1,000 |     1,000
         7 |         0      1,000 |     1,000
         8 |         0      1,000 |     1,000
         9 |         0      1,000 |     1,000
        10 |         0      1,000 |     1,000
        11 |         0      1,000 |     1,000
        12 |         0      1,000 |     1,000
        13 |         0      1,000 |     1,000
        14 |         3        997 |     1,000
        15 |         4        996 |     1,000
        20 |        23        977 |     1,000
        25 |        41        959 |     1,000
        30 |       117        883 |     1,000
-----------+----------------------+----------
     Total |       188     15,812 |    16,000

Case 1: z=95  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    15,161     35,070 |    50,231
         1 |    14,892     34,862 |    49,754
         2 |    14,956     34,986 |    49,942
         3 |    15,032     34,966 |    49,998
         4 |    14,987     35,140 |    50,127
         5 |    14,974     34,615 |    49,589
         6 |    14,939     35,214 |    50,153
         7 |    15,153     34,963 |    50,116
         8 |    14,850     35,371 |    50,221
         9 |    15,047     34,822 |    49,869
-----------+----------------------+----------
     Total |   149,991    350,009 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    14,443     33,231 |    47,674
         1 |    14,121     33,115 |    47,236
         2 |    14,205     33,256 |    47,461
         3 |    14,267     33,219 |    47,486
         4 |    14,259     33,358 |    47,617
         5 |    14,218     32,810 |    47,028
         6 |    14,191     33,467 |    47,658
         7 |    14,397     33,196 |    47,593
         8 |    14,141     33,607 |    47,748
         9 |    14,281     33,064 |    47,345
-----------+----------------------+----------
     Total |   142,523    332,323 |   474,846


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       718      1,839 |     2,557
         1 |       771      1,747 |     2,518
         2 |       751      1,730 |     2,481
         3 |       765      1,747 |     2,512
         4 |       728      1,782 |     2,510
         5 |       756      1,805 |     2,561
         6 |       748      1,747 |     2,495
         7 |       756      1,767 |     2,523
         8 |       709      1,764 |     2,473
         9 |       766      1,758 |     2,524
-----------+----------------------+----------
     Total |     7,468     17,686 |    25,154

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          4 |         4
       .05 |         0          0          0          0          0          0          0          0          0          0          0          0          0          2          3         23 |        28
        .1 |         0          0          0          0          0          0          0          0          1          1          1          1          3         17         30         83 |       137
       .15 |         1          1          1          1          1          2          2          2          1          2          4          7         14         48         80        205 |       372
        .2 |         3          3          3          3          3          2          3          7          9         12         16         23         35        115        170        272 |       679
       .25 |         9          9          9          9          9         10         14         15         19         27         40         50         73        179        243        224 |       939
        .3 |        20         20         20         20         20         21         23         27         33         44         54         80        124        250        234        131 |     1,121
       .35 |        61         61         61         62         65         64         64         69         84        100        130        170        178        204        160         40 |     1,573
        .4 |        88         88         89         89         90         95        109        122        133        157        168        195        186        108         56         16 |     1,789
       .45 |       146        146        146        147        148        154        153        169        175        181        191        169        166         60         21          2 |     2,174
        .5 |       156        156        156        156        155        155        161        159        175        178        168        145        117         13          3          0 |     2,053
       .55 |       180        180        179        180        181        183        176        163        147        133        108         79         65          4          0          0 |     1,958
        .6 |       154        154        154        154        153        142        135        124        111         80         74         57         25          0          0          0 |     1,517
       .65 |        92         92         92         91         88         93         88         87         70         61         34         20         13          0          0          0 |       921
        .7 |        58         58         58         57         59         53         50         37         26         17         12          4          1          0          0          0 |       490
       .75 |        27         27         27         26         23         22         19         18         15          6          0          0          0          0          0          0 |       210
        .8 |         4          4          4          4          4          3          3          1          1          1          0          0          0          0          0          0 |        29
       .85 |         0          0          0          0          0          1          0          0          0          0          0          0          0          0          0          0 |         1
        .9 |         1          1          1          1          1          0          0          0          0          0          0          0          0          0          0          0 |         5
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         40 |        40
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1        153 |       154
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         26        350 |       376
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1        199        340 |       540
        .5 |         0          0          0          0          0          0          0          0          0          0          0          1          1        269        707        116 |     1,094
       .55 |         0          0          0          0          0          0          0          0          0          0          0          1          2        396         66          0 |       465
        .6 |         0          0          0          0          0          0          0          0          0          0          0          0         17        251          1          0 |       269
       .65 |         0          0          0          0          0          0          0          0          0          0          3         11         71         69          0          0 |       154
        .7 |         0          0          0          0          0          0          0          0          1          2         21         76        189         13          0          0 |       302
       .75 |         0          0          0          0          0          0          0          0          0         11         52        164        250          1          0          0 |       478
        .8 |         0          0          0          0          0          0          0          3         13         69        163        247        234          0          0          0 |       729
       .85 |         0          0          0          0          0          0          3         16         75        176        290        267        163          0          0          0 |       990
        .9 |         0          0          0          0          3          7         31        108        209        290        264        169         66          0          0          0 |     1,147
       .95 |         0          1          7         24         53        127        234        360        401        320        167         58          7          0          0          0 |     1,759
         1 |     1,000        999        993        976        944        866        732        513        301        132         40          6          0          0          0          0 |     7,502
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .2 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          4 |         4
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         37 |        37
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        150 |       150
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          9        319 |       328
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         84        325 |       409
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0         13        330        139 |       482
        .5 |         0          0          0          0          0          0          0          0          0          0          1          1          3        416        550         26 |       997
       .55 |         0          0          0          0          0          0          0          0          0          0          1          2         12        395         27          0 |       437
        .6 |         0          0          0          0          0          0          0          0          0          1          0         12         58        146          0          0 |       217
       .65 |         0          0          0          0          0          0          0          0          0          0          8         46        161         26          0          0 |       241
        .7 |         0          0          0          0          0          0          0          1          1          8         41        136        261          4          0          0 |       452
       .75 |         0          0          0          0          0          0          0          0         10         39        125        242        240          0          0          0 |       656
        .8 |         0          0          0          0          0          0          0          5         33        126        249        279        167          0          0          0 |       859
       .85 |         0          0          0          0          0          0         10         52        132        242        271        177         77          0          0          0 |       961
        .9 |         0          0          0          1          6         19         78        173        278        325        203         85         20          0          0          0 |     1,188
       .95 |         0          1         11         42         90        187        292        394        370        195         87         18          1          0          0          0 |     1,688
         1 |     1,000        999        989        957        904        794        620        375        176         64         14          2          0          0          0          0 |     6,894
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         0      1,000 |     1,000
         4 |         0      1,000 |     1,000
         5 |         0      1,000 |     1,000
         6 |         0      1,000 |     1,000
         7 |         0      1,000 |     1,000
         8 |         0      1,000 |     1,000
         9 |         0      1,000 |     1,000
        10 |         0      1,000 |     1,000
        11 |         0      1,000 |     1,000
        12 |         0      1,000 |     1,000
        13 |         0      1,000 |     1,000
        14 |         0      1,000 |     1,000
        15 |         0      1,000 |     1,000
        20 |         0      1,000 |     1,000
        25 |         0      1,000 |     1,000
        30 |         4        996 |     1,000
-----------+----------------------+----------
     Total |         4     15,996 |    16,000

Calculations for Case 2...
Case q=15  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    15,161     35,070 |    50,231
         1 |    14,892     34,862 |    49,754
         2 |    14,956     34,986 |    49,942
         3 |    15,032     34,966 |    49,998
         4 |    14,987     35,140 |    50,127
         5 |    14,974     34,615 |    49,589
         6 |    14,939     35,214 |    50,153
         7 |    15,153     34,963 |    50,116
         8 |    14,850     35,371 |    50,221
         9 |    15,047     34,822 |    49,869
-----------+----------------------+----------
     Total |   149,991    350,009 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    42,711      7,520 |    50,231
         1 |    42,212      7,542 |    49,754
         2 |    42,342      7,600 |    49,942
         3 |    42,301      7,697 |    49,998
         4 |    42,619      7,508 |    50,127
         5 |    42,122      7,467 |    49,589
         6 |    42,564      7,589 |    50,153
         7 |    42,589      7,527 |    50,116
         8 |    42,825      7,396 |    50,221
         9 |    42,430      7,439 |    49,869
-----------+----------------------+----------
     Total |   424,715     75,285 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |       817        535        243         66          6          1          0          0          0          0          0          0          1        262        689        149 |     2,769
        .1 |       173        366        378        202         46          4          1          0          0          0          0          1          2        395        262        346 |     2,176
        .2 |        10         86        249        296        138         27          3          1          0          0          1          2         19        253         45        333 |     1,463
        .3 |         0         12        109        264        268         87         20          2          4          1          4         18         76         75          4        141 |     1,085
        .4 |         0          1         18        111        256        201         70         31          6         11         36         94        190         14          0         30 |     1,069
        .5 |         0          0          2         46        180        287        188         70         46         63         89        162        252          1          0          1 |     1,387
        .6 |         0          0          1         14         81        225        266        178        150        135        200        255        241          0          0          0 |     1,746
        .7 |         0          0          0          1         21        112        238        271        230        263        287        267        152          0          0          0 |     1,842
        .8 |         0          0          0          0          3         49        152        272        292        255        230        147         61          0          0          0 |     1,461
        .9 |         0          0          0          0          1          6         52        139        200        210        122         50          6          0          0          0 |       786
         1 |         0          0          0          0          0          1         10         36         72         62         31          4          0          0          0          0 |       216
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         11 |        11
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         23        186 |       209
        .5 |         0          0          0          0          1         12         54        197        421        648        808        896        949        994        971        797 |     6,748
       .55 |         0          0          0          1          6         63        222        369        387        288        174         99         51          6          6          6 |     1,678
        .6 |         0          0          0          2         54        186        313        290        149         58         17          5          0          0          0          0 |     1,074
       .65 |         0          0          1         24        115        250        262        116         39          6          1          0          0          0          0          0 |       814
        .7 |         0          1         14         83        240        260        113         23          4          0          0          0          0          0          0          0 |       738
       .75 |         0          2         47        181        270        157         29          5          0          0          0          0          0          0          0          0 |       691
        .8 |         1         18        114        259        204         58          6          0          0          0          0          0          0          0          0          0 |       660
       .85 |        12        107        263        266         85         12          1          0          0          0          0          0          0          0          0          0 |       746
        .9 |        86        252        289        132         20          2          0          0          0          0          0          0          0          0          0          0 |       781
       .95 |       367        375        206         47          5          0          0          0          0          0          0          0          0          0          0          0 |     1,000
         1 |       534        245         66          5          0          0          0          0          0          0          0          0          0          0          0          0 |       850
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |       817        183          0 |     1,000
         4 |       535        465          0 |     1,000
         5 |       243        757          0 |     1,000
         6 |        66        934          0 |     1,000
         7 |         6        994          0 |     1,000
         8 |         1        998          1 |     1,000
         9 |         0        990         10 |     1,000
        10 |         0        964         36 |     1,000
        11 |         0        928         72 |     1,000
        12 |         0        938         62 |     1,000
        13 |         0        969         31 |     1,000
        14 |         0        996          4 |     1,000
        15 |         1        999          0 |     1,000
        20 |       262        738          0 |     1,000
        25 |       689        311          0 |     1,000
        30 |       149        851          0 |     1,000
-----------+---------------------------------+----------
     Total |     2,769     13,015        216 |    16,000

Case q=10  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    15,161     35,070 |    50,231
         1 |    14,892     34,862 |    49,754
         2 |    14,956     34,986 |    49,942
         3 |    15,032     34,966 |    49,998
         4 |    14,987     35,140 |    50,127
         5 |    14,974     34,615 |    49,589
         6 |    14,939     35,214 |    50,153
         7 |    15,153     34,963 |    50,116
         8 |    14,850     35,371 |    50,221
         9 |    15,047     34,822 |    49,869
-----------+----------------------+----------
     Total |   149,991    350,009 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    45,183      5,048 |    50,231
         1 |    44,769      4,985 |    49,754
         2 |    44,883      5,059 |    49,942
         3 |    44,799      5,199 |    49,998
         4 |    45,142      4,985 |    50,127
         5 |    44,683      4,906 |    49,589
         6 |    45,130      5,023 |    50,153
         7 |    45,190      4,926 |    50,116
         8 |    45,242      4,979 |    50,221
         9 |    44,925      4,944 |    49,869
-----------+----------------------+----------
     Total |   449,946     50,054 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |       269         46          3          0          0          0          0          0          0          0          0          0          0        246        647        121 |     1,332
        .1 |       405        159         26          1          0          0          0          0          0          0          0          2          3        396        288        343 |     1,623
        .2 |       233        301         79         11          1          0          0          0          0          0          0          0         20        253         60        342 |     1,300
        .3 |        73        264        197         38          2          0          0          0          0          0          2         11         63         89          5        152 |       896
        .4 |        16        161        251        100         17          1          0          1          2          3         24         80        192         15          0         41 |       904
        .5 |         4         58        230        212         57          7          2          0          1         13         59        164        248          1          0          1 |     1,057
        .6 |         0          8        142        270        150         39          6         11         18         74        160        243        235          0          0          0 |     1,356
        .7 |         0          2         59        208        261        139         58         48        102        183        287        261        163          0          0          0 |     1,771
        .8 |         0          1         11        122        284        267        210        187        233        299        264        174         67          0          0          0 |     2,119
        .9 |         0          0          2         35        167        353        384        380        376        306        165         59          9          0          0          0 |     2,236
         1 |         0          0          0          3         61        194        340        373        268        122         39          6          0          0          0          0 |     1,406
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          4 |         4
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          5         72 |        77
        .5 |         0          0          4         63        221        468        707        844        900        920        929        932        933        936        931        863 |     9,651
       .55 |         0          2         35        181        371        372        245        141         95         79         70         67         66         63         63         60 |     1,910
        .6 |         1         11        124        279        257        134         47         15          5          1          1          1          1          1          1          1 |       880
       .65 |         2         59        208        261        113         23          1          0          0          0          0          0          0          0          0          0 |       667
        .7 |         8        142        272        147         32          3          0          0          0          0          0          0          0          0          0          0 |       604
       .75 |        59        235        211         51          6          0          0          0          0          0          0          0          0          0          0          0 |       562
        .8 |       160        248         98         16          0          0          0          0          0          0          0          0          0          0          0          0 |       522
       .85 |       264        195         36          1          0          0          0          0          0          0          0          0          0          0          0          0 |       496
        .9 |       301         79         12          1          0          0          0          0          0          0          0          0          0          0          0          0 |       393
       .95 |       159         26          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       185
         1 |        46          3          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        49
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |       269        731          0 |     1,000
         4 |        46        954          0 |     1,000
         5 |         3        997          0 |     1,000
         6 |         0        997          3 |     1,000
         7 |         0        939         61 |     1,000
         8 |         0        806        194 |     1,000
         9 |         0        660        340 |     1,000
        10 |         0        627        373 |     1,000
        11 |         0        732        268 |     1,000
        12 |         0        878        122 |     1,000
        13 |         0        961         39 |     1,000
        14 |         0        994          6 |     1,000
        15 |         0      1,000          0 |     1,000
        20 |       246        754          0 |     1,000
        25 |       647        353          0 |     1,000
        30 |       121        879          0 |     1,000
-----------+---------------------------------+----------
     Total |     1,332     13,262      1,406 |    16,000

Case q=5  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    15,161     35,070 |    50,231
         1 |    14,892     34,862 |    49,754
         2 |    14,956     34,986 |    49,942
         3 |    15,032     34,966 |    49,998
         4 |    14,987     35,140 |    50,127
         5 |    14,974     34,615 |    49,589
         6 |    14,939     35,214 |    50,153
         7 |    15,153     34,963 |    50,116
         8 |    14,850     35,371 |    50,221
         9 |    15,047     34,822 |    49,869
-----------+----------------------+----------
     Total |   149,991    350,009 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    47,710      2,521 |    50,231
         1 |    47,290      2,464 |    49,754
         2 |    47,402      2,540 |    49,942
         3 |    47,456      2,542 |    49,998
         4 |    47,565      2,562 |    50,127
         5 |    47,107      2,482 |    49,589
         6 |    47,691      2,462 |    50,153
         7 |    47,656      2,460 |    50,116
         8 |    47,758      2,463 |    50,221
         9 |    47,348      2,521 |    49,869
-----------+----------------------+----------
     Total |   474,983     25,017 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          0          0          0          0          0          0          0          0          0          0          0          0        123        335         74 |       533
        .1 |        16          0          0          0          0          0          0          0          0          0          0          2          7        314        368        274 |       981
        .2 |        69          3          0          0          0          0          0          0          0          0          1          4         23        284        199        315 |       898
        .3 |       153         13          3          1          0          0          0          0          0          1          4         17         56        182         77        235 |       742
        .4 |       231         49          4          1          0          0          0          1          1          5         22         78        178         75         16         75 |       736
        .5 |       254        114         28          6          4          4          2          3         14         33         99        181        241         17          5         26 |     1,031
        .6 |       150        220         72         23         12          9         16         33         58        121        205        259        247          5          0          1 |     1,431
        .7 |        90        275        177         81         57         48         54         90        145        219        275        235        155          0          0          0 |     1,901
        .8 |        33        208        277        215        167        173        205        245        294        315        233        170         78          0          0          0 |     2,613
        .9 |         3         96        303        380        401        395        399        389        331        240        137         44         14          0          0          0 |     3,132
         1 |         0         22        136        293        359        371        324        239        157         66         24         10          1          0          0          0 |     2,002
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         11 |        11
        .5 |        22        136        296        385        429        440        443        443        443        443        443        443        443        443        443        439 |     6,134
       .55 |        96        305        390        394        380        376        378        380        380        380        381        381        381        381        381        378 |     5,742
        .6 |       209        278        205        155        140        135        132        130        130        131        130        130        130        130        130        127 |     2,422
       .65 |       274        175         79         51         41         39         37         37         37         36         36         36         36         36         36         35 |     1,021
        .7 |       220         72         22         11          7          9          9          9          9          9          9          9          9          9          9          9 |       431
       .75 |       114         27          6          4          3          1          1          1          1          1          1          1          1          1          1          1 |       165
        .8 |        49          4          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        54
       .85 |        13          3          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        17
        .9 |         3          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |         1        999          0 |     1,000
         4 |         0        978         22 |     1,000
         5 |         0        864        136 |     1,000
         6 |         0        707        293 |     1,000
         7 |         0        641        359 |     1,000
         8 |         0        629        371 |     1,000
         9 |         0        676        324 |     1,000
        10 |         0        761        239 |     1,000
        11 |         0        843        157 |     1,000
        12 |         0        934         66 |     1,000
        13 |         0        976         24 |     1,000
        14 |         0        990         10 |     1,000
        15 |         0        999          1 |     1,000
        20 |       123        877          0 |     1,000
        25 |       335        665          0 |     1,000
        30 |        74        926          0 |     1,000
-----------+---------------------------------+----------
     Total |       533     13,465      2,002 |    16,000

Calculations for Case 3...
Case w=90  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |  15,161   35,070
          | .895719   .90134
          |
        1 |  14,892   34,862
          | .896589  .900178
          |
        2 |  14,956   34,986
          | .899773  .902275
          |
        3 |  15,032   34,966
          | .897552  .901047
          |
        4 |  14,987   35,140
          |  .89998  .901679
          |
        5 |  14,974   34,615
          | .900761   .89831
          |
        6 |  14,939   35,214
          | .895174  .899955
          |
        7 |  15,153   34,963
          | .900944  .899694
          |
        8 |  14,850   35,371
          | .902896  .899183
          |
        9 |  15,047   34,822
          | .900047   .89811
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     1,581      3,460 |     5,041
         1 |     1,540      3,480 |     5,020
         2 |     1,499      3,419 |     4,918
         3 |     1,540      3,460 |     5,000
         4 |     1,499      3,455 |     4,954
         5 |     1,486      3,520 |     5,006
         6 |     1,566      3,523 |     5,089
         7 |     1,501      3,507 |     5,008
         8 |     1,442      3,566 |     5,008
         9 |     1,504      3,548 |     5,052
-----------+----------------------+----------
     Total |    15,158     34,938 |    50,096


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0          0          0          0          0          0          0          0         18         43         97 |       158
       .05 |         0          0          0          0          0          0          0          0          0          0          2          3          6         88        141        210 |       450
        .1 |         1          1          1          1          1          1          1          2          3          5         11         20         39        178        232        304 |       801
       .15 |         2          2          2          2          2          2          2          4          7         15         34         56         71        234        269        235 |       939
        .2 |        17         17         17         17         17         19         21         23         36         57         67         90        126        215        200        103 |     1,042
       .25 |        45         45         45         45         46         47         53         64         80         85        107        126        161        146         80         41 |     1,216
        .3 |        81         81         81         82         83         85         92        106        105        120        141        176        194         76         29          9 |     1,541
       .35 |       125        126        126        129        130        131        130        123        143        161        183        176        163         33          5          0 |     1,884
        .4 |       172        171        172        169        167        168        166        180        184        193        165        153        115         10          1          1 |     2,187
       .45 |       185        185        184        184        190        190        185        183        166        135        131         98         77          2          0          0 |     2,095
        .5 |       156        156        156        156        149        148        156        145        132        127         98         64         32          0          0          0 |     1,675
       .55 |       121        121        121        120        121        117        107         94         84         58         35         26         12          0          0          0 |     1,137
        .6 |        55         55         55         55         55         53         55         50         39         34         21          9          2          0          0          0 |       538
       .65 |        31         31         31         31         30         30         23         18         17          7          3          1          1          0          0          0 |       254
        .7 |         6          6          6          6          6          7          7          6          3          2          1          1          1          0          0          0 |        58
       .75 |         3          3          3          3          3          2          2          2          1          1          1          1          0          0          0          0 |        25
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         40 |        40
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1        153 |       154
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         26        350 |       376
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1        199        340 |       540
        .5 |         0          0          0          0          0          0          0          0          0          0          0          1          1        269        707        116 |     1,094
       .55 |         0          0          0          0          0          0          0          0          0          0          0          1          2        396         66          0 |       465
        .6 |         0          0          0          0          0          0          0          0          0          0          0          0         17        251          1          0 |       269
       .65 |         0          0          0          0          0          0          0          0          0          0          3         11         71         69          0          0 |       154
        .7 |         0          0          0          0          0          0          0          0          1          2         21         76        189         13          0          0 |       302
       .75 |         0          0          0          0          0          0          0          0          0         11         52        164        250          1          0          0 |       478
        .8 |         0          0          0          0          0          0          0          3         13         69        163        247        234          0          0          0 |       729
       .85 |         0          0          0          0          0          0          3         16         75        176        290        267        163          0          0          0 |       990
        .9 |         0          0          0          0          3          7         31        108        209        290        264        169         66          0          0          0 |     1,147
       .95 |         0          1          7         24         53        127        234        360        401        320        167         58          7          0          0          0 |     1,759
         1 |     1,000        999        993        976        944        866        732        513        301        132         40          6          0          0          0          0 |     7,502
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         0      1,000 |     1,000
         4 |         0      1,000 |     1,000
         5 |         0      1,000 |     1,000
         6 |         0      1,000 |     1,000
         7 |         0      1,000 |     1,000
         8 |         0      1,000 |     1,000
         9 |         0      1,000 |     1,000
        10 |         0      1,000 |     1,000
        11 |         0      1,000 |     1,000
        12 |         0      1,000 |     1,000
        13 |         0      1,000 |     1,000
        14 |         0      1,000 |     1,000
        15 |         0      1,000 |     1,000
        20 |        18        982 |     1,000
        25 |        43        957 |     1,000
        30 |        97        903 |     1,000
-----------+----------------------+----------
     Total |       158     15,842 |    16,000

Case w=95  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |  15,161   35,070
          | .947431  .949301
          |
        1 |  14,892   34,862
          | .948764  .951265
          |
        2 |  14,956   34,986
          | .950187  .950209
          |
        3 |  15,032   34,966
          |  .94984  .950409
          |
        4 |  14,987   35,140
          | .948889  .950655
          |
        5 |  14,974   34,615
          | .950314  .948028
          |
        6 |  14,939   35,214
          | .947922  .949679
          |
        7 |  15,153   34,963
          | .951429  .949118
          |
        8 |  14,850   35,371
          | .949091   .95092
          |
        9 |  15,047   34,822
          | .949558  .948021
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       797      1,778 |     2,575
         1 |       763      1,699 |     2,462
         2 |       745      1,742 |     2,487
         3 |       754      1,734 |     2,488
         4 |       766      1,734 |     2,500
         5 |       744      1,799 |     2,543
         6 |       778      1,772 |     2,550
         7 |       736      1,779 |     2,515
         8 |       756      1,736 |     2,492
         9 |       759      1,810 |     2,569
-----------+----------------------+----------
     Total |     7,598     17,583 |    25,181


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .05 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1          6         14 |        21
        .1 |         0          0          0          0          0          0          0          0          0          0          0          1          2          7         11         49 |        70
       .15 |         0          0          0          0          0          0          0          0          0          1          2          1          1         25         51        157 |       238
        .2 |         3          3          3          3          3          3          3          3          3          3          8         10         20         90        169        226 |       553
       .25 |         6          6          6          6          6          6          6          7         11         12         21         34         45        194        245        274 |       885
        .3 |        24         24         24         24         24         25         25         24         26         41         46         66         91        229        250        173 |     1,116
       .35 |        39         39         39         40         42         41         45         48         61         69         83        100        137        217        172         75 |     1,247
        .4 |        88         88         88         87         86         88         85         96        101        109        138        167        185        140         75         26 |     1,647
       .45 |       135        135        135        136        136        135        142        142        157        186        199        189        177         67         20          6 |     2,097
        .5 |       171        171        171        170        171        173        176        184        179        173        158        163        162         28          1          0 |     2,251
       .55 |       188        188        188        189        189        191        189        195        200        176        166        147        107          2          0          0 |     2,315
        .6 |       156        156        156        155        155        152        154        142        131        128        112         77         47          0          0          0 |     1,721
       .65 |       104        104        104        104        104        105        101         96         79         58         36         30         19          0          0          0 |     1,044
        .7 |        51         51         51         51         49         47         41         32         24         29         22         12          7          0          0          0 |       467
       .75 |        26         26         26         26         26         26         27         25         24         13          9          3          0          0          0          0 |       257
        .8 |         7          7          7          7          7          6          4          4          4          2          0          0          0          0          0          0 |        55
       .85 |         2          2          2          2          2          2          2          2          0          0          0          0          0          0          0          0 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         40 |        40
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1        153 |       154
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         26        350 |       376
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1        199        340 |       540
        .5 |         0          0          0          0          0          0          0          0          0          0          0          1          1        269        707        116 |     1,094
       .55 |         0          0          0          0          0          0          0          0          0          0          0          1          2        396         66          0 |       465
        .6 |         0          0          0          0          0          0          0          0          0          0          0          0         17        251          1          0 |       269
       .65 |         0          0          0          0          0          0          0          0          0          0          3         11         71         69          0          0 |       154
        .7 |         0          0          0          0          0          0          0          0          1          2         21         76        189         13          0          0 |       302
       .75 |         0          0          0          0          0          0          0          0          0         11         52        164        250          1          0          0 |       478
        .8 |         0          0          0          0          0          0          0          3         13         69        163        247        234          0          0          0 |       729
       .85 |         0          0          0          0          0          0          3         16         75        176        290        267        163          0          0          0 |       990
        .9 |         0          0          0          0          3          7         31        108        209        290        264        169         66          0          0          0 |     1,147
       .95 |         0          1          7         24         53        127        234        360        401        320        167         58          7          0          0          0 |     1,759
         1 |     1,000        999        993        976        944        866        732        513        301        132         40          6          0          0          0          0 |     7,502
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |     1,000 |     1,000
         4 |     1,000 |     1,000
         5 |     1,000 |     1,000
         6 |     1,000 |     1,000
         7 |     1,000 |     1,000
         8 |     1,000 |     1,000
         9 |     1,000 |     1,000
        10 |     1,000 |     1,000
        11 |     1,000 |     1,000
        12 |     1,000 |     1,000
        13 |     1,000 |     1,000
        14 |     1,000 |     1,000
        15 |     1,000 |     1,000
        20 |     1,000 |     1,000
        25 |     1,000 |     1,000
        30 |     1,000 |     1,000
-----------+-----------+----------
     Total |    16,000 |    16,000

Case w=99  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |  15,161   35,070
          | .989908  .989222
          |
        1 |  14,892   34,862
          | .989592  .990247
          |
        2 |  14,956   34,986
          | .989503  .990139
          |
        3 |  15,032   34,966
          | .989622  .990534
          |
        4 |  14,987   35,140
          | .989057  .990609
          |
        5 |  14,974   34,615
          | .991452  .989831
          |
        6 |  14,939   35,214
          | .989758  .989408
          |
        7 |  15,153   34,963
          | .989837  .989103
          |
        8 |  14,850   35,371
          | .990034  .989624
          |
        9 |  15,047   34,822
          | .989367  .989116
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       153        378 |       531
         1 |       155        340 |       495
         2 |       157        345 |       502
         3 |       156        331 |       487
         4 |       164        330 |       494
         5 |       128        352 |       480
         6 |       153        373 |       526
         7 |       154        381 |       535
         8 |       148        367 |       515
         9 |       160        379 |       539
-----------+----------------------+----------
     Total |     1,528      3,576 |     5,104


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         8          8          8          8          8          8          9          9          9         10         10         10         15         26         29         52 |       227
       .05 |        39         39         39         39         39         40         40         42         45         47         52         60         62        109        133        172 |       997
        .1 |       104        104        104        104        104        104        103        104        105        112        127        132        145        213        250        286 |     2,201
       .15 |       160        160        160        160        163        163        165        168        181        183        188        189        201        258        267        249 |     3,015
        .2 |       232        232        232        232        229        230        230        232        233        237        241        259        253        207        184        156 |     3,619
       .25 |       197        197        197        197        197        195        196        197        195        196        174        171        171        124         89         60 |     2,753
        .3 |       146        146        146        146        146        148        146        139        128        123        126        113         92         44         39         23 |     1,851
       .35 |        71         71         71         71         71         69         71         71         71         63         55         43         45         18          9          2 |       872
        .4 |        30         30         30         30         31         31         28         28         23         20         19         19         15          1          0          0 |       335
       .45 |        10         10         10         10          9          9          9          7          7          6          5          2          0          0          0          0 |        94
        .5 |         3          3          3          3          3          3          3          3          3          3          3          2          1          0          0          0 |        36
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         40 |        40
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1        153 |       154
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         26        350 |       376
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1        199        340 |       540
        .5 |         0          0          0          0          0          0          0          0          0          0          0          1          1        269        707        116 |     1,094
       .55 |         0          0          0          0          0          0          0          0          0          0          0          1          2        396         66          0 |       465
        .6 |         0          0          0          0          0          0          0          0          0          0          0          0         17        251          1          0 |       269
       .65 |         0          0          0          0          0          0          0          0          0          0          3         11         71         69          0          0 |       154
        .7 |         0          0          0          0          0          0          0          0          1          2         21         76        189         13          0          0 |       302
       .75 |         0          0          0          0          0          0          0          0          0         11         52        164        250          1          0          0 |       478
        .8 |         0          0          0          0          0          0          0          3         13         69        163        247        234          0          0          0 |       729
       .85 |         0          0          0          0          0          0          3         16         75        176        290        267        163          0          0          0 |       990
        .9 |         0          0          0          0          3          7         31        108        209        290        264        169         66          0          0          0 |     1,147
       .95 |         0          1          7         24         53        127        234        360        401        320        167         58          7          0          0          0 |     1,759
         1 |     1,000        999        993        976        944        866        732        513        301        132         40          6          0          0          0          0 |     7,502
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         8        992 |     1,000
         4 |         8        992 |     1,000
         5 |         8        992 |     1,000
         6 |         8        992 |     1,000
         7 |         8        992 |     1,000
         8 |         8        992 |     1,000
         9 |         9        991 |     1,000
        10 |         9        991 |     1,000
        11 |         9        991 |     1,000
        12 |        10        990 |     1,000
        13 |        10        990 |     1,000
        14 |        10        990 |     1,000
        15 |        15        985 |     1,000
        20 |        26        974 |     1,000
        25 |        29        971 |     1,000
        30 |        52        948 |     1,000
-----------+----------------------+----------
     Total |       227     15,773 |    16,000

Calculations for Case 1...
Case 1: z=70  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    10,103     40,128 |    50,231
         1 |    10,095     39,659 |    49,754
         2 |     9,889     40,053 |    49,942
         3 |    10,107     39,891 |    49,998
         4 |    10,023     40,104 |    50,127
         5 |     9,966     39,623 |    49,589
         6 |     9,938     40,215 |    50,153
         7 |    10,076     40,040 |    50,116
         8 |     9,971     40,250 |    50,221
         9 |    10,001     39,868 |    49,869
-----------+----------------------+----------
     Total |   100,169    399,831 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     7,087     27,940 |    35,027
         1 |     7,043     27,816 |    34,859
         2 |     6,885     28,091 |    34,976
         3 |     7,078     28,005 |    35,083
         4 |     7,029     27,976 |    35,005
         5 |     7,002     27,746 |    34,748
         6 |     6,951     28,083 |    35,034
         7 |     7,088     28,018 |    35,106
         8 |     7,029     28,273 |    35,302
         9 |     6,979     28,048 |    35,027
-----------+----------------------+----------
     Total |    70,171    279,996 |   350,167


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     3,016     12,188 |    15,204
         1 |     3,052     11,843 |    14,895
         2 |     3,004     11,962 |    14,966
         3 |     3,029     11,886 |    14,915
         4 |     2,994     12,128 |    15,122
         5 |     2,964     11,877 |    14,841
         6 |     2,987     12,132 |    15,119
         7 |     2,988     12,022 |    15,010
         8 |     2,942     11,977 |    14,919
         9 |     3,022     11,820 |    14,842
-----------+----------------------+----------
     Total |    29,998    119,835 |   149,833

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         9         15         21         43         88        192        340        525        677        819        890        946        968        994        996        999 |     8,522
       .05 |        69         84        124        186        280        342        388        353        270        166        108         54         32          6          4          1 |     2,467
        .1 |       172        199        222        262        292        286        196         98         49         15          2          0          0          0          0          0 |     1,793
       .15 |       235        237        242        239        199        127         64         23          4          0          0          0          0          0          0          0 |     1,370
        .2 |       232        218        203        165         97         41          9          1          0          0          0          0          0          0          0          0 |       966
       .25 |       166        147        115         69         36          9          3          0          0          0          0          0          0          0          0          0 |       545
        .3 |        76         69         56         29          5          3          0          0          0          0          0          0          0          0          0          0 |       238
       .35 |        34         25         13          6          3          0          0          0          0          0          0          0          0          0          0          0 |        81
        .4 |         7          6          4          1          0          0          0          0          0          0          0          0          0          0          0          0 |        18
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1         43 |        44
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1         30        277 |       308
        .5 |         0          0          0          0          0          0          0          1          3         19         83        211        395        962        969        678 |     3,321
       .55 |         0          0          0          0          0          0          0          3         18        115        267        398        417         37          0          0 |     1,255
        .6 |         0          0          0          0          0          0          2         15        112        251        316        276        152          0          0          0 |     1,124
       .65 |         0          0          0          0          0          2          8         69        218        273        201         85         31          0          0          0 |       887
        .7 |         0          0          0          0          0          1         58        170        243        205         95         25          4          0          0          0 |       801
       .75 |         0          0          0          0          2         27        129        244        219        100         33          5          1          0          0          0 |       760
        .8 |         0          0          0          0         23        110        244        262        132         30          5          0          0          0          0          0 |       806
       .85 |         0          0          0         16         95        228        267        159         47          6          0          0          0          0          0          0 |       818
        .9 |         0          2         29        109        239        319        194         65          6          1          0          0          0          0          0          0 |       964
       .95 |        15         87        217        354        377        228         83         11          2          0          0          0          0          0          0          0 |     1,374
         1 |       985        911        754        521        264         85         15          1          0          0          0          0          0          0          0          0 |     3,536
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
       .05 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         28 |        28
        .1 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        123 |       123
       .15 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        276 |       276
        .2 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          9        302 |       311
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         55        178 |       233
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0        137         78 |       215
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          4        309         13 |       326
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0         55        310          1 |       366
       .45 |         0          0          0          0          0          0          0          0          0          0          2          5         22        333        150          0 |       512
        .5 |         0          0          0          0          0          8         36        144        335        586        758        884        925        608         30          0 |     4,314
       .55 |         0          0          0          0          2         29        154        349        424        326        217        106         53          0          0          0 |     1,660
        .6 |         0          0          0          0         19        124        287        281        173         78         22          5          0          0          0          0 |       989
       .65 |         0          0          0          5         69        202        273        158         59          9          1          0          0          0          0          0 |       776
        .7 |         0          0          1         38        168        281        162         53          9          1          0          0          0          0          0          0 |       713
       .75 |         0          2          7         88        229        189         68         12          0          0          0          0          0          0          0          0 |       595
        .8 |         0          2         54        200        237        117         14          3          0          0          0          0          0          0          0          0 |       627
       .85 |         2         26        159        281        186         39          6          0          0          0          0          0          0          0          0          0 |       699
        .9 |        13        152        303        232         71          8          0          0          0          0          0          0          0          0          0          0 |       779
       .95 |       226        382        323        132         16          3          0          0          0          0          0          0          0          0          0          0 |     1,082
         1 |       759        436        153         24          3          0          0          0          0          0          0          0          0          0          0          0 |     1,375
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         9        991 |     1,000
         4 |        15        985 |     1,000
         5 |        21        979 |     1,000
         6 |        43        957 |     1,000
         7 |        88        912 |     1,000
         8 |       192        808 |     1,000
         9 |       340        660 |     1,000
        10 |       525        475 |     1,000
        11 |       677        323 |     1,000
        12 |       819        181 |     1,000
        13 |       890        110 |     1,000
        14 |       946         54 |     1,000
        15 |       968         32 |     1,000
        20 |       994          6 |     1,000
        25 |       996          4 |     1,000
        30 |       999          1 |     1,000
-----------+----------------------+----------
     Total |     8,522      7,478 |    16,000

Case 1: z=80  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    10,103     40,128 |    50,231
         1 |    10,095     39,659 |    49,754
         2 |     9,889     40,053 |    49,942
         3 |    10,107     39,891 |    49,998
         4 |    10,023     40,104 |    50,127
         5 |     9,966     39,623 |    49,589
         6 |     9,938     40,215 |    50,153
         7 |    10,076     40,040 |    50,116
         8 |     9,971     40,250 |    50,221
         9 |    10,001     39,868 |    49,869
-----------+----------------------+----------
     Total |   100,169    399,831 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     8,123     32,035 |    40,158
         1 |     8,062     31,843 |    39,905
         2 |     7,861     32,094 |    39,955
         3 |     8,087     31,939 |    40,026
         4 |     8,047     31,918 |    39,965
         5 |     7,975     31,674 |    39,649
         6 |     7,944     32,141 |    40,085
         7 |     8,007     32,026 |    40,033
         8 |     7,993     32,276 |    40,269
         9 |     7,982     31,851 |    39,833
-----------+----------------------+----------
     Total |    80,081    319,797 |   399,878


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     1,980      8,093 |    10,073
         1 |     2,033      7,816 |     9,849
         2 |     2,028      7,959 |     9,987
         3 |     2,020      7,952 |     9,972
         4 |     1,976      8,186 |    10,162
         5 |     1,991      7,949 |     9,940
         6 |     1,994      8,074 |    10,068
         7 |     2,069      8,014 |    10,083
         8 |     1,978      7,974 |     9,952
         9 |     2,019      8,017 |    10,036
-----------+----------------------+----------
     Total |    20,088     80,034 |   100,122

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          1          1          3         13         25         73        169        301        469        620        719        791        872        881        908 |     5,846
       .05 |         7          7         12         26         56        119        220        328        396        362        303        248        194        124        116         91 |     2,609
        .1 |        31         39         47         73        114        205        274        268        207        132         69         32         14          4          3          1 |     1,513
       .15 |        77         92        114        134        235        269        245        160         70         32          7          1          1          0          0          0 |     1,437
        .2 |       180        183        217        295        261        212        128         59         22          3          1          0          0          0          0          0 |     1,561
       .25 |       223        233        240        202        172        102         40         14          4          2          0          0          0          0          0          0 |     1,232
        .3 |       228        222        184        149         97         52         16          1          0          0          0          0          0          0          0          0 |       949
       .35 |       156        141        115         86         42         14          4          1          0          0          0          0          0          0          0          0 |       559
        .4 |        69         57         55         27          8          2          0          0          0          0          0          0          0          0          0          0 |       218
       .45 |        21         19         11          4          2          0          0          0          0          0          0          0          0          0          0          0 |        57
        .5 |         8          6          4          1          0          0          0          0          0          0          0          0          0          0          0          0 |        19
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1         43 |        44
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1         30        277 |       308
        .5 |         0          0          0          0          0          0          0          1          3         19         83        211        395        962        969        678 |     3,321
       .55 |         0          0          0          0          0          0          0          3         18        115        267        398        417         37          0          0 |     1,255
        .6 |         0          0          0          0          0          0          2         15        112        251        316        276        152          0          0          0 |     1,124
       .65 |         0          0          0          0          0          2          8         69        218        273        201         85         31          0          0          0 |       887
        .7 |         0          0          0          0          0          1         58        170        243        205         95         25          4          0          0          0 |       801
       .75 |         0          0          0          0          2         27        129        244        219        100         33          5          1          0          0          0 |       760
        .8 |         0          0          0          0         23        110        244        262        132         30          5          0          0          0          0          0 |       806
       .85 |         0          0          0         16         95        228        267        159         47          6          0          0          0          0          0          0 |       818
        .9 |         0          2         29        109        239        319        194         65          6          1          0          0          0          0          0          0 |       964
       .95 |        15         87        217        354        377        228         83         11          2          0          0          0          0          0          0          0 |     1,374
         1 |       985        911        754        521        264         85         15          1          0          0          0          0          0          0          0          0 |     3,536
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .15 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          8 |         8
        .2 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         40 |        40
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        141 |       141
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1        257 |       258
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         38        325 |       363
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          3        160        185 |       348
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          1         64        422         41 |       528
        .5 |         0          0          0          0          0          1          4         32        113        286        512        706        839        932        379          3 |     3,807
       .55 |         0          0          0          0          0          1         36        142        320        414        381        264        152          1          0          0 |     1,711
        .6 |         0          0          0          0          0         23        110        266        305        218         91         29          8          0          0          0 |     1,050
       .65 |         0          0          0          0          5         65        228        266        173         65         13          1          0          0          0          0 |       816
        .7 |         0          0          0          1         39        160        253        181         74         14          2          0          0          0          0          0 |       724
       .75 |         0          0          3         18        129        255        208         79         13          3          1          0          0          0          0          0 |       709
        .8 |         0          0          6         53        200        232        110         27          2          0          0          0          0          0          0          0 |       630
       .85 |         0          5         45        213        286        174         43          7          0          0          0          0          0          0          0          0 |       773
        .9 |         3         48        177        295        212         66          6          0          0          0          0          0          0          0          0          0 |       807
       .95 |       114        312        397        298        112         20          2          0          0          0          0          0          0          0          0          0 |     1,255
         1 |       883        635        372        122         17          3          0          0          0          0          0          0          0          0          0          0 |     2,032
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         0      1,000 |     1,000
         4 |         1        999 |     1,000
         5 |         1        999 |     1,000
         6 |         3        997 |     1,000
         7 |        13        987 |     1,000
         8 |        25        975 |     1,000
         9 |        73        927 |     1,000
        10 |       169        831 |     1,000
        11 |       301        699 |     1,000
        12 |       469        531 |     1,000
        13 |       620        380 |     1,000
        14 |       719        281 |     1,000
        15 |       791        209 |     1,000
        20 |       872        128 |     1,000
        25 |       881        119 |     1,000
        30 |       908         92 |     1,000
-----------+----------------------+----------
     Total |     5,846     10,154 |    16,000

Case 1: z=90  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    10,103     40,128 |    50,231
         1 |    10,095     39,659 |    49,754
         2 |     9,889     40,053 |    49,942
         3 |    10,107     39,891 |    49,998
         4 |    10,023     40,104 |    50,127
         5 |     9,966     39,623 |    49,589
         6 |     9,938     40,215 |    50,153
         7 |    10,076     40,040 |    50,116
         8 |     9,971     40,250 |    50,221
         9 |    10,001     39,868 |    49,869
-----------+----------------------+----------
     Total |   100,169    399,831 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     9,107     36,017 |    45,124
         1 |     9,073     35,741 |    44,814
         2 |     8,890     36,060 |    44,950
         3 |     9,080     35,897 |    44,977
         4 |     9,029     36,039 |    45,068
         5 |     8,980     35,553 |    44,533
         6 |     8,981     36,119 |    45,100
         7 |     9,054     36,000 |    45,054
         8 |     8,991     36,282 |    45,273
         9 |     9,015     35,872 |    44,887
-----------+----------------------+----------
     Total |    90,200    359,580 |   449,780


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       996      4,111 |     5,107
         1 |     1,022      3,918 |     4,940
         2 |       999      3,993 |     4,992
         3 |     1,027      3,994 |     5,021
         4 |       994      4,065 |     5,059
         5 |       986      4,070 |     5,056
         6 |       957      4,096 |     5,053
         7 |     1,022      4,040 |     5,062
         8 |       980      3,968 |     4,948
         9 |       986      3,996 |     4,982
-----------+----------------------+----------
     Total |     9,969     40,251 |    50,220

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0          1          6         13         26         39         56         63         72         76        107 |       459
       .05 |         0          0          0          0          0          2         11         35         77        112        158        176        202        243        247        286 |     1,549
        .1 |         3          4          4          6         11         21         56        108        142        193        231        268        286        299        300        306 |     2,238
       .15 |        10         11         12         21         31         68        114        161        218        233        242        251        241        235        237        197 |     2,282
        .2 |        43         49         59         69        112        131        175        198        221        218        197        154        142        109         98         78 |     2,053
       .25 |        84         85        103        128        155        208        213        204        162        131         88         63         46         32         33         20 |     1,755
        .3 |       152        155        161        179        194        181        173        160        109         58         34         28         18          9          8          6 |     1,625
       .35 |       173        180        177        181        178        163        145         78         27         18          9          3          2          1          1          0 |     1,336
        .4 |       193        189        200        177        161        147         73         34         23          6          2          1          0          0          0          0 |     1,206
       .45 |       164        163        139        122         91         53         24          9          7          5          0          0          0          0          0          0 |       777
        .5 |       103         98         84         67         41          7          5          4          1          0          0          0          0          0          0          0 |       410
       .55 |        46         39         36         29         16         14          8          3          0          0          0          0          0          0          0          0 |       191
        .6 |        16         15         16         15          7          4          2          0          0          0          0          0          0          0          0          0 |        75
       .65 |        10         10          8          5          2          1          0          0          0          0          0          0          0          0          0          0 |        36
        .7 |         3          2          1          1          1          0          0          0          0          0          0          0          0          0          0          0 |         8
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1         43 |        44
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1         30        277 |       308
        .5 |         0          0          0          0          0          0          0          1          3         19         83        211        395        962        969        678 |     3,321
       .55 |         0          0          0          0          0          0          0          3         18        115        267        398        417         37          0          0 |     1,255
        .6 |         0          0          0          0          0          0          2         15        112        251        316        276        152          0          0          0 |     1,124
       .65 |         0          0          0          0          0          2          8         69        218        273        201         85         31          0          0          0 |       887
        .7 |         0          0          0          0          0          1         58        170        243        205         95         25          4          0          0          0 |       801
       .75 |         0          0          0          0          2         27        129        244        219        100         33          5          1          0          0          0 |       760
        .8 |         0          0          0          0         23        110        244        262        132         30          5          0          0          0          0          0 |       806
       .85 |         0          0          0         16         95        228        267        159         47          6          0          0          0          0          0          0 |       818
        .9 |         0          2         29        109        239        319        194         65          6          1          0          0          0          0          0          0 |       964
       .95 |        15         87        217        354        377        228         83         11          2          0          0          0          0          0          0          0 |     1,374
         1 |       985        911        754        521        264         85         15          1          0          0          0          0          0          0          0          0 |     3,536
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         10 |        10
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        100 |       100
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         16        285 |       301
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0         13        160        409 |       582
        .5 |         0          0          0          0          0          0          1          4         29         93        249        450        629        977        824        195 |     3,451
       .55 |         0          0          0          0          0          0          3         31        112        287        404        399        324         10          0          0 |     1,570
        .6 |         0          0          0          0          0          1         16        105        275        309        239        120         45          0          0          0 |     1,110
       .65 |         0          0          0          0          0          8         77        205        255        200         86         30          2          0          0          0 |       863
        .7 |         0          0          0          0          3         32        165        257        190         85         20          1          0          0          0          0 |       753
       .75 |         0          0          0          1         21        125        240        210         97         24          2          0          0          0          0          0 |       720
        .8 |         0          0          0          9         92        242        262        136         39          1          0          0          0          0          0          0 |       781
       .85 |         0          0         15         79        222        283        156         44          2          1          0          0          0          0          0          0 |       802
        .9 |         0          8         73        208        309        194         58          8          1          0          0          0          0          0          0          0 |       859
       .95 |        45        193        337        390        256         96         21          0          0          0          0          0          0          0          0          0 |     1,338
         1 |       955        799        575        313         97         19          1          0          0          0          0          0          0          0          0          0 |     2,759
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         0      1,000 |     1,000
         4 |         0      1,000 |     1,000
         5 |         0      1,000 |     1,000
         6 |         0      1,000 |     1,000
         7 |         0      1,000 |     1,000
         8 |         0      1,000 |     1,000
         9 |         1        999 |     1,000
        10 |         6        994 |     1,000
        11 |        13        987 |     1,000
        12 |        26        974 |     1,000
        13 |        39        961 |     1,000
        14 |        56        944 |     1,000
        15 |        63        937 |     1,000
        20 |        72        928 |     1,000
        25 |        76        924 |     1,000
        30 |       107        893 |     1,000
-----------+----------------------+----------
     Total |       459     15,541 |    16,000

Case 1: z=95  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    10,103     40,128 |    50,231
         1 |    10,095     39,659 |    49,754
         2 |     9,889     40,053 |    49,942
         3 |    10,107     39,891 |    49,998
         4 |    10,023     40,104 |    50,127
         5 |     9,966     39,623 |    49,589
         6 |     9,938     40,215 |    50,153
         7 |    10,076     40,040 |    50,116
         8 |     9,971     40,250 |    50,221
         9 |    10,001     39,868 |    49,869
-----------+----------------------+----------
     Total |   100,169    399,831 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     9,627     38,047 |    47,674
         1 |     9,567     37,669 |    47,236
         2 |     9,389     38,072 |    47,461
         3 |     9,590     37,896 |    47,486
         4 |     9,537     38,080 |    47,617
         5 |     9,469     37,559 |    47,028
         6 |     9,461     38,197 |    47,658
         7 |     9,562     38,031 |    47,593
         8 |     9,484     38,264 |    47,748
         9 |     9,504     37,841 |    47,345
-----------+----------------------+----------
     Total |    95,190    379,656 |   474,846


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       476      2,081 |     2,557
         1 |       528      1,990 |     2,518
         2 |       500      1,981 |     2,481
         3 |       517      1,995 |     2,512
         4 |       486      2,024 |     2,510
         5 |       497      2,064 |     2,561
         6 |       477      2,018 |     2,495
         7 |       514      2,009 |     2,523
         8 |       487      1,986 |     2,473
         9 |       497      2,027 |     2,524
-----------+----------------------+----------
     Total |     4,979     20,175 |    25,154

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .05 |         1          1          1          1          1          1          1          2          2          2          3          3          3          3          3          6 |        34
        .1 |         0          0          0          0          0          1          1          4          9         13         18         19         24         29         30         53 |       201
       .15 |         3          3          3          3          5          8         19         25         36         52         60         79         81         91         92        117 |       677
        .2 |        12         12         14         16         20         27         36         56         77         92        114        123        136        154        159        184 |     1,232
       .25 |        29         32         34         40         51         65         86        108        135        160        187        203        221        244        249        267 |     2,111
        .3 |        70         70         76         80         93        118        141        186        218        233        238        241        240        235        230        194 |     2,663
       .35 |       116        117        118        134        154        168        182        187        188        188        182        178        168        161        164        136 |     2,541
        .4 |       154        159        165        170        171        176        168        171        147        128        123        103         89         66         56         33 |     2,079
       .45 |       193        191        194        198        185        172        179        137        115         83         51         41         30         16         16         10 |     1,811
        .5 |       149        149        144        134        140        121         95         72         46         38         22          9          8          1          1          0 |     1,129
       .55 |       124        124        116        102         89         88         64         37         19          8          2          1          0          0          0          0 |       774
        .6 |        85         84         81         76         53         36         19         11          6          3          0          0          0          0          0          0 |       454
       .65 |        40         36         34         30         30         17          8          4          2          0          0          0          0          0          0          0 |       201
        .7 |        18         17         16         13          7          2          1          0          0          0          0          0          0          0          0          0 |        74
       .75 |         5          4          3          3          1          0          0          0          0          0          0          0          0          0          0          0 |        16
        .8 |         1          1          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1         43 |        44
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1         30        277 |       308
        .5 |         0          0          0          0          0          0          0          1          3         19         83        211        395        962        969        678 |     3,321
       .55 |         0          0          0          0          0          0          0          3         18        115        267        398        417         37          0          0 |     1,255
        .6 |         0          0          0          0          0          0          2         15        112        251        316        276        152          0          0          0 |     1,124
       .65 |         0          0          0          0          0          2          8         69        218        273        201         85         31          0          0          0 |       887
        .7 |         0          0          0          0          0          1         58        170        243        205         95         25          4          0          0          0 |       801
       .75 |         0          0          0          0          2         27        129        244        219        100         33          5          1          0          0          0 |       760
        .8 |         0          0          0          0         23        110        244        262        132         30          5          0          0          0          0          0 |       806
       .85 |         0          0          0         16         95        228        267        159         47          6          0          0          0          0          0          0 |       818
        .9 |         0          2         29        109        239        319        194         65          6          1          0          0          0          0          0          0 |       964
       .95 |        15         87        217        354        377        228         83         11          2          0          0          0          0          0          0          0 |     1,374
         1 |       985        911        754        521        264         85         15          1          0          0          0          0          0          0          0          0 |     3,536
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         10 |        10
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          2        132 |       134
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          3         76        418 |       497
        .5 |         0          0          0          0          0          0          0          1          9         41        158        325        503        978        922        440 |     3,377
       .55 |         0          0          0          0          0          0          2         10         69        200        336        412        402         19          0          0 |     1,450
        .6 |         0          0          0          0          0          0          4         49        175        301        305        200         80          0          0          0 |     1,114
       .65 |         0          0          0          0          0          4         27        140        261        241        141         58         14          0          0          0 |       886
        .7 |         0          0          0          0          0         10         96        233        234        144         49          4          0          0          0          0 |       770
       .75 |         0          0          0          0          6         62        203        245        159         59         11          1          1          0          0          0 |       747
        .8 |         0          0          0          3         47        170        280        203         73         12          0          0          0          0          0          0 |       788
       .85 |         0          0          3         44        148        273        221         88         17          1          0          0          0          0          0          0 |       795
        .9 |         0          4         52        151        302        288        117         28          3          1          0          0          0          0          0          0 |       946
       .95 |        23        136        272        383        322        147         43          3          0          0          0          0          0          0          0          0 |     1,329
         1 |       977        860        673        419        175         46          7          0          0          0          0          0          0          0          0          0 |     3,157
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |     1,000 |     1,000
         4 |     1,000 |     1,000
         5 |     1,000 |     1,000
         6 |     1,000 |     1,000
         7 |     1,000 |     1,000
         8 |     1,000 |     1,000
         9 |     1,000 |     1,000
        10 |     1,000 |     1,000
        11 |     1,000 |     1,000
        12 |     1,000 |     1,000
        13 |     1,000 |     1,000
        14 |     1,000 |     1,000
        15 |     1,000 |     1,000
        20 |     1,000 |     1,000
        25 |     1,000 |     1,000
        30 |     1,000 |     1,000
-----------+-----------+----------
     Total |    16,000 |    16,000

Calculations for Case 2...
Case q=15  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    10,103     40,128 |    50,231
         1 |    10,095     39,659 |    49,754
         2 |     9,889     40,053 |    49,942
         3 |    10,107     39,891 |    49,998
         4 |    10,023     40,104 |    50,127
         5 |     9,966     39,623 |    49,589
         6 |     9,938     40,215 |    50,153
         7 |    10,076     40,040 |    50,116
         8 |     9,971     40,250 |    50,221
         9 |    10,001     39,868 |    49,869
-----------+----------------------+----------
     Total |   100,169    399,831 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    42,711      7,520 |    50,231
         1 |    42,212      7,542 |    49,754
         2 |    42,342      7,600 |    49,942
         3 |    42,301      7,697 |    49,998
         4 |    42,619      7,508 |    50,127
         5 |    42,122      7,467 |    49,589
         6 |    42,564      7,589 |    50,153
         7 |    42,589      7,527 |    50,116
         8 |    42,825      7,396 |    50,221
         9 |    42,430      7,439 |    49,869
-----------+----------------------+----------
     Total |   424,715     75,285 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |       807        490        190         50          7          0          0          1          1         15         72        180        358        954        963        691 |     4,779
        .1 |       180        385        362        166         48          7          7         10         24         98        218        376        420         46         36        268 |     2,651
        .2 |        13        106        276        282        131         50         45         54        106        224        311        299        177          0          1         40 |     2,115
        .3 |         0         17        139        276        231        149        121        131        198        292        235        107         37          0          0          1 |     1,934
        .4 |         0          2         30        152        261        229        194        190        285        229        123         31          7          0          0          0 |     1,733
        .5 |         0          0          2         65        188        276        239        264        234         92         32          6          1          0          0          0 |     1,399
        .6 |         0          0          1          7        106        159        208        215        101         39          9          1          0          0          0          0 |       846
        .7 |         0          0          0          2         24         97        119        103         39          8          0          0          0          0          0          0 |       392
        .8 |         0          0          0          0          4         30         53         26          9          3          0          0          0          0          0          0 |       125
        .9 |         0          0          0          0          0          3         13          6          3          0          0          0          0          0          0          0 |        25
         1 |         0          0          0          0          0          0          1          0          0          0          0          0          0          0          0          0 |         1
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         11 |        11
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         23        186 |       209
        .5 |         0          0          0          0          1         12         54        197        421        648        808        896        949        994        971        797 |     6,748
       .55 |         0          0          0          1          6         63        222        369        387        288        174         99         51          6          6          6 |     1,678
        .6 |         0          0          0          2         54        186        313        290        149         58         17          5          0          0          0          0 |     1,074
       .65 |         0          0          1         24        115        250        262        116         39          6          1          0          0          0          0          0 |       814
        .7 |         0          1         14         83        240        260        113         23          4          0          0          0          0          0          0          0 |       738
       .75 |         0          2         47        181        270        157         29          5          0          0          0          0          0          0          0          0 |       691
        .8 |         1         18        114        259        204         58          6          0          0          0          0          0          0          0          0          0 |       660
       .85 |        12        107        263        266         85         12          1          0          0          0          0          0          0          0          0          0 |       746
        .9 |        86        252        289        132         20          2          0          0          0          0          0          0          0          0          0          0 |       781
       .95 |       367        375        206         47          5          0          0          0          0          0          0          0          0          0          0          0 |     1,000
         1 |       534        245         66          5          0          0          0          0          0          0          0          0          0          0          0          0 |       850
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |       807        193          0 |     1,000
         4 |       490        510          0 |     1,000
         5 |       190        810          0 |     1,000
         6 |        50        950          0 |     1,000
         7 |         7        993          0 |     1,000
         8 |         0      1,000          0 |     1,000
         9 |         0        999          1 |     1,000
        10 |         1        999          0 |     1,000
        11 |         1        999          0 |     1,000
        12 |        15        985          0 |     1,000
        13 |        72        928          0 |     1,000
        14 |       180        820          0 |     1,000
        15 |       358        642          0 |     1,000
        20 |       954         46          0 |     1,000
        25 |       963         37          0 |     1,000
        30 |       691        309          0 |     1,000
-----------+---------------------------------+----------
     Total |     4,779     11,220          1 |    16,000

Case q=10  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    10,103     40,128 |    50,231
         1 |    10,095     39,659 |    49,754
         2 |     9,889     40,053 |    49,942
         3 |    10,107     39,891 |    49,998
         4 |    10,023     40,104 |    50,127
         5 |     9,966     39,623 |    49,589
         6 |     9,938     40,215 |    50,153
         7 |    10,076     40,040 |    50,116
         8 |     9,971     40,250 |    50,221
         9 |    10,001     39,868 |    49,869
-----------+----------------------+----------
     Total |   100,169    399,831 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    45,183      5,048 |    50,231
         1 |    44,769      4,985 |    49,754
         2 |    44,883      5,059 |    49,942
         3 |    44,799      5,199 |    49,998
         4 |    45,142      4,985 |    50,127
         5 |    44,683      4,906 |    49,589
         6 |    45,130      5,023 |    50,153
         7 |    45,190      4,926 |    50,116
         8 |    45,242      4,979 |    50,221
         9 |    44,925      4,944 |    49,869
-----------+----------------------+----------
     Total |   449,946     50,054 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |       261         46          3          0          0          0          0          1          1         12         74        190        368        900        908        657 |     3,421
        .1 |       410        146         28          2          1          0          1          2         23        118        261        400        415         97         91        293 |     2,288
        .2 |       235        300         86         15          1          0          2         16        104        241        308        277        173          3          1         48 |     1,810
        .3 |        74        264        192         54         15         12         19         77        214        273        215        101         38          0          0          2 |     1,550
        .4 |        15        171        255        138         55         37         80        174        248        212         99         27          5          0          0          0 |     1,516
        .5 |         5         62        217        221        137        110        181        253        221        102         38          5          1          0          0          0 |     1,553
        .6 |         0          8        145        234        230        205        239        257        132         35          5          0          0          0          0          0 |     1,490
        .7 |         0          3         60        213        251        269        244        144         48          6          0          0          0          0          0          0 |     1,238
        .8 |         0          0         13         93        194        228        169         63          8          1          0          0          0          0          0          0 |       769
        .9 |         0          0          1         28         86        116         59         12          1          0          0          0          0          0          0          0 |       303
         1 |         0          0          0          2         30         23          6          1          0          0          0          0          0          0          0          0 |        62
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          4 |         4
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          5         72 |        77
        .5 |         0          0          4         63        221        468        707        844        900        920        929        932        933        936        931        863 |     9,651
       .55 |         0          2         35        181        371        372        245        141         95         79         70         67         66         63         63         60 |     1,910
        .6 |         1         11        124        279        257        134         47         15          5          1          1          1          1          1          1          1 |       880
       .65 |         2         59        208        261        113         23          1          0          0          0          0          0          0          0          0          0 |       667
        .7 |         8        142        272        147         32          3          0          0          0          0          0          0          0          0          0          0 |       604
       .75 |        59        235        211         51          6          0          0          0          0          0          0          0          0          0          0          0 |       562
        .8 |       160        248         98         16          0          0          0          0          0          0          0          0          0          0          0          0 |       522
       .85 |       264        195         36          1          0          0          0          0          0          0          0          0          0          0          0          0 |       496
        .9 |       301         79         12          1          0          0          0          0          0          0          0          0          0          0          0          0 |       393
       .95 |       159         26          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       185
         1 |        46          3          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        49
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |       261        739          0 |     1,000
         4 |        46        954          0 |     1,000
         5 |         3        997          0 |     1,000
         6 |         0        998          2 |     1,000
         7 |         0        970         30 |     1,000
         8 |         0        977         23 |     1,000
         9 |         0        994          6 |     1,000
        10 |         1        998          1 |     1,000
        11 |         1        999          0 |     1,000
        12 |        12        988          0 |     1,000
        13 |        74        926          0 |     1,000
        14 |       190        810          0 |     1,000
        15 |       368        632          0 |     1,000
        20 |       900        100          0 |     1,000
        25 |       908         92          0 |     1,000
        30 |       657        343          0 |     1,000
-----------+---------------------------------+----------
     Total |     3,421     12,517         62 |    16,000

Case q=5  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |    10,103     40,128 |    50,231
         1 |    10,095     39,659 |    49,754
         2 |     9,889     40,053 |    49,942
         3 |    10,107     39,891 |    49,998
         4 |    10,023     40,104 |    50,127
         5 |     9,966     39,623 |    49,589
         6 |     9,938     40,215 |    50,153
         7 |    10,076     40,040 |    50,116
         8 |     9,971     40,250 |    50,221
         9 |    10,001     39,868 |    49,869
-----------+----------------------+----------
     Total |   100,169    399,831 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    47,710      2,521 |    50,231
         1 |    47,290      2,464 |    49,754
         2 |    47,402      2,540 |    49,942
         3 |    47,456      2,542 |    49,998
         4 |    47,565      2,562 |    50,127
         5 |    47,107      2,482 |    49,589
         6 |    47,691      2,462 |    50,153
         7 |    47,656      2,460 |    50,116
         8 |    47,758      2,463 |    50,221
         9 |    47,348      2,521 |    49,869
-----------+----------------------+----------
     Total |   474,983     25,017 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          0          0          0          0          0          0          0          1          8         48        102        178        430        429        326 |     1,523
        .1 |        16          0          0          0          0          0          0          3         18         79        166        276        360        374        388        397 |     2,077
        .2 |        67          3          0          0          0          1          1         12         86        194        266        308        254        146        134        193 |     1,665
        .3 |       155         16          3          1          0          2         19         66        174        267        271        208        154         39         39         65 |     1,479
        .4 |       233         48          4          1          4          7         59        170        254        222        157         77         42         10          9         17 |     1,314
        .5 |       251        124         36         14         23         66        165        247        231        148         70         21          9          1          1          2 |     1,409
        .6 |       152        222         89         55         74        154        260        263        147         61         18          7          3          0          0          0 |     1,505
        .7 |        88        276        193        123        188        269        240        157         74         17          3          1          0          0          0          0 |     1,629
        .8 |        34        195        302        302        303        289        181         67         12          3          1          0          0          0          0          0 |     1,689
        .9 |         3         96        275        338        280        166         67         13          3          1          0          0          0          0          0          0 |     1,242
         1 |         0         20         98        166        128         46          8          2          0          0          0          0          0          0          0          0 |       468
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         11 |        11
        .5 |        22        136        296        385        429        440        443        443        443        443        443        443        443        443        443        439 |     6,134
       .55 |        96        305        390        394        380        376        378        380        380        380        381        381        381        381        381        378 |     5,742
        .6 |       209        278        205        155        140        135        132        130        130        131        130        130        130        130        130        127 |     2,422
       .65 |       274        175         79         51         41         39         37         37         37         36         36         36         36         36         36         35 |     1,021
        .7 |       220         72         22         11          7          9          9          9          9          9          9          9          9          9          9          9 |       431
       .75 |       114         27          6          4          3          1          1          1          1          1          1          1          1          1          1          1 |       165
        .8 |        49          4          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        54
       .85 |        13          3          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        17
        .9 |         3          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |         1        999          0 |     1,000
         4 |         0        980         20 |     1,000
         5 |         0        902         98 |     1,000
         6 |         0        834        166 |     1,000
         7 |         0        872        128 |     1,000
         8 |         0        954         46 |     1,000
         9 |         0        992          8 |     1,000
        10 |         0        998          2 |     1,000
        11 |         1        999          0 |     1,000
        12 |         8        992          0 |     1,000
        13 |        48        952          0 |     1,000
        14 |       102        898          0 |     1,000
        15 |       178        822          0 |     1,000
        20 |       430        570          0 |     1,000
        25 |       429        571          0 |     1,000
        30 |       326        674          0 |     1,000
-----------+---------------------------------+----------
     Total |     1,523     14,009        468 |    16,000

Calculations for Case 3...
Case w=90  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |  10,103   40,128
          | .894091  .901042
          |
        1 |  10,095   39,659
          | .898068  .899367
          |
        2 |   9,889   40,053
          |  .89817  .902354
          |
        3 |  10,107   39,891
          | .895122  .901231
          |
        4 |  10,023   40,104
          | .900429  .901356
          |
        5 |   9,966   39,623
          | .900662  .898645
          |
        6 |   9,938   40,215
          | .895351  .899316
          |
        7 |  10,076   40,040
          | .898472  .900475
          |
        8 |   9,971   40,250
          | .902517  .899727
          |
        9 |  10,001   39,868
          |  .89781  .898916
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     1,070      3,971 |     5,041
         1 |     1,029      3,991 |     5,020
         2 |     1,007      3,911 |     4,918
         3 |     1,060      3,940 |     5,000
         4 |       998      3,956 |     4,954
         5 |       990      4,016 |     5,006
         6 |     1,040      4,049 |     5,089
         7 |     1,023      3,985 |     5,008
         8 |       972      4,036 |     5,008
         9 |     1,022      4,030 |     5,052
-----------+----------------------+----------
     Total |    10,211     39,885 |    50,096


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0          0          2          6         10         23         40         51         75         79         99 |       385
       .05 |         0          0          0          0          0          3          7         13         26         57         94        132        165        241        247        263 |     1,248
        .1 |         4          4          4          4          7         12         19         39         84        147        184        213        258        286        285        303 |     1,853
       .15 |        10         11         14         19         24         35         72         98        161        196        244        248        243        229        224        200 |     2,028
        .2 |        38         39         38         43         64         83        112        182        202        221        194        198        165        117        117        100 |     1,913
       .25 |        74         75         79         85        101        129        167        186        197        163        130        103         78         42         41         28 |     1,678
        .3 |       138        136        139        140        155        183        202        191        145        110         86         49         31          9          6          6 |     1,726
       .35 |       173        178        184        196        197        189        167        138        101         60         34         13          9          1          1          1 |     1,642
        .4 |       209        205        197        192        184        161        129         81         51         26          8          3          0          0          0          0 |     1,446
       .45 |       155        155        162        157        128        116         67         45         18          8          2          1          0          0          0          0 |     1,014
        .5 |       110        112         99         94         79         46         40         18          8          2          1          0          0          0          0          0 |       609
       .55 |        62         58         61         50         44         36         14          6          1          0          0          0          0          0          0          0 |       332
        .6 |        21         21         17         14         13          7          4          1          0          0          0          0          0          0          0          0 |        98
       .65 |         4          4          4          5          3          0          0          0          0          0          0          0          0          0          0          0 |        20
        .7 |         2          2          2          1          1          0          0          0          0          0          0          0          0          0          0          0 |         8
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1         43 |        44
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1         30        277 |       308
        .5 |         0          0          0          0          0          0          0          1          3         19         83        211        395        962        969        678 |     3,321
       .55 |         0          0          0          0          0          0          0          3         18        115        267        398        417         37          0          0 |     1,255
        .6 |         0          0          0          0          0          0          2         15        112        251        316        276        152          0          0          0 |     1,124
       .65 |         0          0          0          0          0          2          8         69        218        273        201         85         31          0          0          0 |       887
        .7 |         0          0          0          0          0          1         58        170        243        205         95         25          4          0          0          0 |       801
       .75 |         0          0          0          0          2         27        129        244        219        100         33          5          1          0          0          0 |       760
        .8 |         0          0          0          0         23        110        244        262        132         30          5          0          0          0          0          0 |       806
       .85 |         0          0          0         16         95        228        267        159         47          6          0          0          0          0          0          0 |       818
        .9 |         0          2         29        109        239        319        194         65          6          1          0          0          0          0          0          0 |       964
       .95 |        15         87        217        354        377        228         83         11          2          0          0          0          0          0          0          0 |     1,374
         1 |       985        911        754        521        264         85         15          1          0          0          0          0          0          0          0          0 |     3,536
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         0      1,000 |     1,000
         4 |         0      1,000 |     1,000
         5 |         0      1,000 |     1,000
         6 |         0      1,000 |     1,000
         7 |         0      1,000 |     1,000
         8 |         0      1,000 |     1,000
         9 |         0      1,000 |     1,000
        10 |         2        998 |     1,000
        11 |         6        994 |     1,000
        12 |        10        990 |     1,000
        13 |        23        977 |     1,000
        14 |        40        960 |     1,000
        15 |        51        949 |     1,000
        20 |        75        925 |     1,000
        25 |        79        921 |     1,000
        30 |        99        901 |     1,000
-----------+----------------------+----------
     Total |       385     15,615 |    16,000

Case w=95  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |  10,103   40,128
          | .946551  .949287
          |
        1 |  10,095   39,659
          | .949975  .950654
          |
        2 |   9,889   40,053
          |  .94863   .95059
          |
        3 |  10,107   39,891
          | .948847   .95059
          |
        4 |  10,023   40,104
          | .948618  .950504
          |
        5 |   9,966   39,623
          | .949729  .948464
          |
        6 |   9,938   40,215
          | .947172  .949646
          |
        7 |  10,076   40,040
          | .951072  .949501
          |
        8 |   9,971   40,250
          |  .94825  .950907
          |
        9 |  10,001   39,868
          | .948405  .948505
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       540      2,035 |     2,575
         1 |       505      1,957 |     2,462
         2 |       508      1,979 |     2,487
         3 |       517      1,971 |     2,488
         4 |       515      1,985 |     2,500
         5 |       501      2,042 |     2,543
         6 |       525      2,025 |     2,550
         7 |       493      2,022 |     2,515
         8 |       516      1,976 |     2,492
         9 |       516      2,053 |     2,569
-----------+----------------------+----------
     Total |     5,136     20,045 |    25,181


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .05 |         0          0          0          0          0          0          1          1          1          1          1          1          2          2          2          4 |        16
        .1 |         1          1          1          1          2          2          2          3          3          5          7          9         11         19         21         29 |       117
       .15 |         3          3          4          4          3          3          5          5         11         27         39         48         59         79         84        104 |       481
        .2 |         9          9          8          9          9         14         18         32         56         77        101        126        141        190        195        203 |     1,197
       .25 |        27         27         29         28         31         37         47         87        113        143        173        206        228        236        231        256 |     1,899
        .3 |        54         54         53         56         69         87        125        130        171        195        215        213        229        249        252        221 |     2,373
       .35 |       104        104        107        116        120        138        161        188        202        217        212        206        189        151        143        126 |     2,484
        .4 |       169        171        172        179        197        196        202        197        186        159        136        125         99         57         57         50 |     2,352
       .45 |       194        193        192        187        182        187        166        165        124         98         69         45         29         17         15          7 |     1,870
        .5 |       168        167        168        166        154        147        134        102         78         52         32         17         11          0          0          0 |     1,396
       .55 |       118        118        118        110        109         92         80         56         38         17         14          4          2          0          0          0 |       876
        .6 |        86         86         82         87         77         69         41         26         13          8          1          0          0          0          0          0 |       576
       .65 |        45         45         45         40         36         23         16          6          4          1          0          0          0          0          0          0 |       261
        .7 |        15         15         14         14         10          4          1          2          0          0          0          0          0          0          0          0 |        75
       .75 |         6          6          6          2          0          1          1          0          0          0          0          0          0          0          0          0 |        22
        .8 |         1          1          1          1          1          0          0          0          0          0          0          0          0          0          0          0 |         5
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1         43 |        44
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1         30        277 |       308
        .5 |         0          0          0          0          0          0          0          1          3         19         83        211        395        962        969        678 |     3,321
       .55 |         0          0          0          0          0          0          0          3         18        115        267        398        417         37          0          0 |     1,255
        .6 |         0          0          0          0          0          0          2         15        112        251        316        276        152          0          0          0 |     1,124
       .65 |         0          0          0          0          0          2          8         69        218        273        201         85         31          0          0          0 |       887
        .7 |         0          0          0          0          0          1         58        170        243        205         95         25          4          0          0          0 |       801
       .75 |         0          0          0          0          2         27        129        244        219        100         33          5          1          0          0          0 |       760
        .8 |         0          0          0          0         23        110        244        262        132         30          5          0          0          0          0          0 |       806
       .85 |         0          0          0         16         95        228        267        159         47          6          0          0          0          0          0          0 |       818
        .9 |         0          2         29        109        239        319        194         65          6          1          0          0          0          0          0          0 |       964
       .95 |        15         87        217        354        377        228         83         11          2          0          0          0          0          0          0          0 |     1,374
         1 |       985        911        754        521        264         85         15          1          0          0          0          0          0          0          0          0 |     3,536
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |     1,000 |     1,000
         4 |     1,000 |     1,000
         5 |     1,000 |     1,000
         6 |     1,000 |     1,000
         7 |     1,000 |     1,000
         8 |     1,000 |     1,000
         9 |     1,000 |     1,000
        10 |     1,000 |     1,000
        11 |     1,000 |     1,000
        12 |     1,000 |     1,000
        13 |     1,000 |     1,000
        14 |     1,000 |     1,000
        15 |     1,000 |     1,000
        20 |     1,000 |     1,000
        25 |     1,000 |     1,000
        30 |     1,000 |     1,000
-----------+-----------+----------
     Total |    16,000 |    16,000

Case w=99  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |  10,103   40,128
          | .989904  .989309
          |
        1 |  10,095   39,659
          | .989004  .990317
          |
        2 |   9,889   40,053
          | .988978  .990188
          |
        3 |  10,107   39,891
          | .989116  .990549
          |
        4 |  10,023   40,104
          | .990223  .990126
          |
        5 |   9,966   39,623
          |  .99107  .990132
          |
        6 |   9,938   40,215
          | .989636  .989482
          |
        7 |  10,076   40,040
          | .989778  .989211
          |
        8 |   9,971   40,250
          | .990573   .98954
          |
        9 |  10,001   39,868
          | .988701  .989315
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       102        429 |       531
         1 |       111        384 |       495
         2 |       109        393 |       502
         3 |       110        377 |       487
         4 |        98        396 |       494
         5 |        89        391 |       480
         6 |       103        423 |       526
         7 |       103        432 |       535
         8 |        94        421 |       515
         9 |       113        426 |       539
-----------+----------------------+----------
     Total |     1,032      4,072 |     5,104


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         8          8          8          8          8          9         10         11         12         13         15         17         17         17         18         19 |       198
       .05 |        40         40         40         41         45         49         52         57         61         70         75         80         86         94         96        107 |     1,033
        .1 |       109        109        109        110        107        108        130        140        162        168        175        184        192        204        205        202 |     2,414
       .15 |       177        177        178        183        188        197        193        210        208        220        233        240        249        257        258        269 |     3,437
        .2 |       239        240        241        238        240        245        243        229        246        255        253        249        236        229        227        218 |     3,828
       .25 |       197        196        195        196        197        187        190        190        177        163        147        137        134        126        124        121 |     2,677
        .3 |       131        131        131        127        121        120        109        102         86         76         74         71         66         57         56         51 |     1,509
       .35 |        68         68         67         68         66         64         53         46         34         27         24         19         18         15         15         12 |       664
        .4 |        21         21         21         21         21         16         17         13         12          7          4          3          2          1          1          1 |       182
       .45 |         9          9          9          7          7          5          3          2          2          1          0          0          0          0          0          0 |        54
        .5 |         1          1          1          1          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1         43 |        44
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1         30        277 |       308
        .5 |         0          0          0          0          0          0          0          1          3         19         83        211        395        962        969        678 |     3,321
       .55 |         0          0          0          0          0          0          0          3         18        115        267        398        417         37          0          0 |     1,255
        .6 |         0          0          0          0          0          0          2         15        112        251        316        276        152          0          0          0 |     1,124
       .65 |         0          0          0          0          0          2          8         69        218        273        201         85         31          0          0          0 |       887
        .7 |         0          0          0          0          0          1         58        170        243        205         95         25          4          0          0          0 |       801
       .75 |         0          0          0          0          2         27        129        244        219        100         33          5          1          0          0          0 |       760
        .8 |         0          0          0          0         23        110        244        262        132         30          5          0          0          0          0          0 |       806
       .85 |         0          0          0         16         95        228        267        159         47          6          0          0          0          0          0          0 |       818
        .9 |         0          2         29        109        239        319        194         65          6          1          0          0          0          0          0          0 |       964
       .95 |        15         87        217        354        377        228         83         11          2          0          0          0          0          0          0          0 |     1,374
         1 |       985        911        754        521        264         85         15          1          0          0          0          0          0          0          0          0 |     3,536
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         8        992 |     1,000
         4 |         8        992 |     1,000
         5 |         8        992 |     1,000
         6 |         8        992 |     1,000
         7 |         8        992 |     1,000
         8 |         9        991 |     1,000
         9 |        10        990 |     1,000
        10 |        11        989 |     1,000
        11 |        12        988 |     1,000
        12 |        13        987 |     1,000
        13 |        15        985 |     1,000
        14 |        17        983 |     1,000
        15 |        17        983 |     1,000
        20 |        17        983 |     1,000
        25 |        18        982 |     1,000
        30 |        19        981 |     1,000
-----------+----------------------+----------
     Total |       198     15,802 |    16,000

Calculations for Case 1...
Case 1: z=70  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     5,109     45,122 |    50,231
         1 |     5,077     44,677 |    49,754
         2 |     4,972     44,970 |    49,942
         3 |     4,982     45,016 |    49,998
         4 |     4,946     45,181 |    50,127
         5 |     4,928     44,661 |    49,589
         6 |     4,940     45,213 |    50,153
         7 |     5,047     45,069 |    50,116
         8 |     4,990     45,231 |    50,221
         9 |     4,977     44,892 |    49,869
-----------+----------------------+----------
     Total |    49,968    450,032 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     3,594     31,433 |    35,027
         1 |     3,512     31,347 |    34,859
         2 |     3,445     31,531 |    34,976
         3 |     3,496     31,587 |    35,083
         4 |     3,484     31,521 |    35,005
         5 |     3,439     31,309 |    34,748
         6 |     3,455     31,579 |    35,034
         7 |     3,542     31,564 |    35,106
         8 |     3,523     31,779 |    35,302
         9 |     3,480     31,547 |    35,027
-----------+----------------------+----------
     Total |    34,970    315,197 |   350,167


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     1,515     13,689 |    15,204
         1 |     1,565     13,330 |    14,895
         2 |     1,527     13,439 |    14,966
         3 |     1,486     13,429 |    14,915
         4 |     1,462     13,660 |    15,122
         5 |     1,489     13,352 |    14,841
         6 |     1,485     13,634 |    15,119
         7 |     1,505     13,505 |    15,010
         8 |     1,467     13,452 |    14,919
         9 |     1,497     13,345 |    14,842
-----------+----------------------+----------
     Total |    14,998    134,835 |   149,833

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         8         37        169        423        671        857        943        979        992        998        999        999        999        999        999      1,000 |    12,072
       .05 |        43        170        335        381        273        130         57         21          8          2          1          1          1          1          1          0 |     1,425
        .1 |       124        239        273        152         53         13          0          0          0          0          0          0          0          0          0          0 |       854
       .15 |       231        282        153         37          3          0          0          0          0          0          0          0          0          0          0          0 |       706
        .2 |       245        167         52          7          0          0          0          0          0          0          0          0          0          0          0          0 |       471
       .25 |       200         75         17          0          0          0          0          0          0          0          0          0          0          0          0          0 |       292
        .3 |        95         26          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |       122
       .35 |        39          4          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        43
        .4 |        14          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        14
       .45 |         1          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         1
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          2         44 |        46
        .5 |         0          0          0          4         59        210        483        725        872        957        979        994        998      1,000        998        956 |     9,235
       .55 |         0          1          4         54        226        385        371        232        124         43         21          6          2          0          0          0 |     1,469
        .6 |         0          0         23        142        284        276        117         42          4          0          0          0          0          0          0          0 |       888
       .65 |         0          3         66        227        243         95         25          1          0          0          0          0          0          0          0          0 |       660
        .7 |         0         25        145        241        124         30          3          0          0          0          0          0          0          0          0          0 |       568
       .75 |         0         69        225        196         50          3          1          0          0          0          0          0          0          0          0          0 |       544
        .8 |        21        168        229        102         13          1          0          0          0          0          0          0          0          0          0          0 |       534
       .85 |       100        266        197         29          1          0          0          0          0          0          0          0          0          0          0          0 |       593
        .9 |       254        257         87          4          0          0          0          0          0          0          0          0          0          0          0          0 |       602
       .95 |       381        165         19          1          0          0          0          0          0          0          0          0          0          0          0          0 |       566
         1 |       244         46          5          0          0          0          0          0          0          0          0          0          0          0          0          0 |       295
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .1 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
       .15 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         12 |        12
        .2 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         46 |        46
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        178 |       178
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          5        321 |       326
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         44        296 |       340
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          3        218        127 |       348
       .45 |         0          0          0          0          0          0          0          0          0          0          0          1          2         97        392         18 |       510
        .5 |         0          2         38        223        517        775        905        965        986        997        999        999        998        900        341          1 |     9,646
       .55 |         0         13        160        358        353        196         91         35         14          3          1          0          0          0          0          0 |     1,224
        .6 |         4         63        251        272        111         28          4          0          0          0          0          0          0          0          0          0 |       733
       .65 |         7        163        246        109         18          1          0          0          0          0          0          0          0          0          0          0 |       544
        .7 |        45        235        180         34          1          0          0          0          0          0          0          0          0          0          0          0 |       495
       .75 |       146        230         91          4          0          0          0          0          0          0          0          0          0          0          0          0 |       471
        .8 |       200        161         28          0          0          0          0          0          0          0          0          0          0          0          0          0 |       389
       .85 |       283        102          6          0          0          0          0          0          0          0          0          0          0          0          0          0 |       391
        .9 |       212         28          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       240
       .95 |        86          3          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        89
         1 |        17          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        17
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         8        992 |     1,000
         4 |        37        963 |     1,000
         5 |       169        831 |     1,000
         6 |       423        577 |     1,000
         7 |       671        329 |     1,000
         8 |       857        143 |     1,000
         9 |       943         57 |     1,000
        10 |       979         21 |     1,000
        11 |       992          8 |     1,000
        12 |       998          2 |     1,000
        13 |       999          1 |     1,000
        14 |       999          1 |     1,000
        15 |       999          1 |     1,000
        20 |       999          1 |     1,000
        25 |       999          1 |     1,000
        30 |     1,000          0 |     1,000
-----------+----------------------+----------
     Total |    12,072      3,928 |    16,000

Case 1: z=80  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     5,109     45,122 |    50,231
         1 |     5,077     44,677 |    49,754
         2 |     4,972     44,970 |    49,942
         3 |     4,982     45,016 |    49,998
         4 |     4,946     45,181 |    50,127
         5 |     4,928     44,661 |    49,589
         6 |     4,940     45,213 |    50,153
         7 |     5,047     45,069 |    50,116
         8 |     4,990     45,231 |    50,221
         9 |     4,977     44,892 |    49,869
-----------+----------------------+----------
     Total |    49,968    450,032 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     4,124     36,034 |    40,158
         1 |     4,045     35,860 |    39,905
         2 |     3,960     35,995 |    39,955
         3 |     3,978     36,048 |    40,026
         4 |     3,992     35,973 |    39,965
         5 |     3,927     35,722 |    39,649
         6 |     3,942     36,143 |    40,085
         7 |     4,008     36,025 |    40,033
         8 |     4,020     36,249 |    40,269
         9 |     3,989     35,844 |    39,833
-----------+----------------------+----------
     Total |    39,985    359,893 |   399,878


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       985      9,088 |    10,073
         1 |     1,032      8,817 |     9,849
         2 |     1,012      8,975 |     9,987
         3 |     1,004      8,968 |     9,972
         4 |       954      9,208 |    10,162
         5 |     1,001      8,939 |     9,940
         6 |       998      9,070 |    10,068
         7 |     1,039      9,044 |    10,083
         8 |       970      8,982 |     9,952
         9 |       988      9,048 |    10,036
-----------+----------------------+----------
     Total |     9,983     90,139 |   100,122

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         7         28         98        279        509        718        849        906        930        943        947        948        949        949        950        955 |    10,965
       .05 |        34         85        265        366        349        240        141         90         70         57         53         52         51         51         50         45 |     1,999
        .1 |       101        247        297        241        122         41         10          4          0          0          0          0          0          0          0          0 |     1,063
       .15 |       204        251        185         86         17          1          0          0          0          0          0          0          0          0          0          0 |       744
        .2 |       250        201        106         24          3          0          0          0          0          0          0          0          0          0          0          0 |       584
       .25 |       207        115         37          4          0          0          0          0          0          0          0          0          0          0          0          0 |       363
        .3 |       115         55         12          0          0          0          0          0          0          0          0          0          0          0          0          0 |       182
       .35 |        59         16          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        75
        .4 |        19          2          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        21
       .45 |         4          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          2         44 |        46
        .5 |         0          0          0          4         59        210        483        725        872        957        979        994        998      1,000        998        956 |     9,235
       .55 |         0          1          4         54        226        385        371        232        124         43         21          6          2          0          0          0 |     1,469
        .6 |         0          0         23        142        284        276        117         42          4          0          0          0          0          0          0          0 |       888
       .65 |         0          3         66        227        243         95         25          1          0          0          0          0          0          0          0          0 |       660
        .7 |         0         25        145        241        124         30          3          0          0          0          0          0          0          0          0          0 |       568
       .75 |         0         69        225        196         50          3          1          0          0          0          0          0          0          0          0          0 |       544
        .8 |        21        168        229        102         13          1          0          0          0          0          0          0          0          0          0          0 |       534
       .85 |       100        266        197         29          1          0          0          0          0          0          0          0          0          0          0          0 |       593
        .9 |       254        257         87          4          0          0          0          0          0          0          0          0          0          0          0          0 |       602
       .95 |       381        165         19          1          0          0          0          0          0          0          0          0          0          0          0          0 |       566
         1 |       244         46          5          0          0          0          0          0          0          0          0          0          0          0          0          0 |       295
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         15 |        15
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        105 |       105
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         13        283 |       296
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          7        163        391 |       561
        .5 |         0          0          9         86        300        604        817        915        970        993        997        999      1,000        993        824        205 |     9,712
       .55 |         0          2         65        244        406        312        166         85         30          7          3          1          0          0          0          0 |     1,321
        .6 |         0         18        142        298        210         73         15          0          0          0          0          0          0          0          0          0 |       756
       .65 |         3         51        231        231         73         11          2          0          0          0          0          0          0          0          0          0 |       602
        .7 |        11        160        239        104         10          0          0          0          0          0          0          0          0          0          0          0 |       524
       .75 |        45        218        178         34          1          0          0          0          0          0          0          0          0          0          0          0 |       476
        .8 |       134        234         97          3          0          0          0          0          0          0          0          0          0          0          0          0 |       468
       .85 |       258        194         31          0          0          0          0          0          0          0          0          0          0          0          0          0 |       483
        .9 |       286         99          7          0          0          0          0          0          0          0          0          0          0          0          0          0 |       392
       .95 |       210         20          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |       231
         1 |        53          4          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        57
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         7        993 |     1,000
         4 |        28        972 |     1,000
         5 |        98        902 |     1,000
         6 |       279        721 |     1,000
         7 |       509        491 |     1,000
         8 |       718        282 |     1,000
         9 |       849        151 |     1,000
        10 |       906         94 |     1,000
        11 |       930         70 |     1,000
        12 |       943         57 |     1,000
        13 |       947         53 |     1,000
        14 |       948         52 |     1,000
        15 |       949         51 |     1,000
        20 |       949         51 |     1,000
        25 |       950         50 |     1,000
        30 |       955         45 |     1,000
-----------+----------------------+----------
     Total |    10,965      5,035 |    16,000

Case 1: z=90  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     5,109     45,122 |    50,231
         1 |     5,077     44,677 |    49,754
         2 |     4,972     44,970 |    49,942
         3 |     4,982     45,016 |    49,998
         4 |     4,946     45,181 |    50,127
         5 |     4,928     44,661 |    49,589
         6 |     4,940     45,213 |    50,153
         7 |     5,047     45,069 |    50,116
         8 |     4,990     45,231 |    50,221
         9 |     4,977     44,892 |    49,869
-----------+----------------------+----------
     Total |    49,968    450,032 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     4,627     40,497 |    45,124
         1 |     4,541     40,273 |    44,814
         2 |     4,451     40,499 |    44,950
         3 |     4,480     40,497 |    44,977
         4 |     4,463     40,605 |    45,068
         5 |     4,428     40,105 |    44,533
         6 |     4,458     40,642 |    45,100
         7 |     4,537     40,517 |    45,054
         8 |     4,505     40,768 |    45,273
         9 |     4,498     40,389 |    44,887
-----------+----------------------+----------
     Total |    44,988    404,792 |   449,780


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       482      4,625 |     5,107
         1 |       536      4,404 |     4,940
         2 |       521      4,471 |     4,992
         3 |       502      4,519 |     5,021
         4 |       483      4,576 |     5,059
         5 |       500      4,556 |     5,056
         6 |       482      4,571 |     5,053
         7 |       510      4,552 |     5,062
         8 |       485      4,463 |     4,948
         9 |       479      4,503 |     4,982
-----------+----------------------+----------
     Total |     4,980     45,240 |    50,220

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         4          6         16         38         67        104        122        129        134        137        137        137        137        137        138        151 |     1,594
       .05 |        25         52         97        160        227        283        318        352        361        362        364        365        365        365        366        363 |     4,425
        .1 |        73        120        202        267        306        319        322        296        295        295        296        295        295        295        294        289 |     4,259
       .15 |       162        202        226        247        234        194        166        167        159        156        155        156        156        156        155        155 |     2,846
        .2 |       204        227        222        165        114         69         55         43         40         40         38         37         37         37         37         33 |     1,398
       .25 |       216        195        141         80         34         22         14         10          9          8          8          8          8          8          8          7 |       776
        .3 |       155        114         60         28         13          6          2          3          2          2          2          2          2          2          2          2 |       397
       .35 |        89         47         28         13          5          3          1          0          0          0          0          0          0          0          0          0 |       186
        .4 |        47         26          7          2          0          0          0          0          0          0          0          0          0          0          0          0 |        82
       .45 |        18         10          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        29
        .5 |         7          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         8
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          2         44 |        46
        .5 |         0          0          0          4         59        210        483        725        872        957        979        994        998      1,000        998        956 |     9,235
       .55 |         0          1          4         54        226        385        371        232        124         43         21          6          2          0          0          0 |     1,469
        .6 |         0          0         23        142        284        276        117         42          4          0          0          0          0          0          0          0 |       888
       .65 |         0          3         66        227        243         95         25          1          0          0          0          0          0          0          0          0 |       660
        .7 |         0         25        145        241        124         30          3          0          0          0          0          0          0          0          0          0 |       568
       .75 |         0         69        225        196         50          3          1          0          0          0          0          0          0          0          0          0 |       544
        .8 |        21        168        229        102         13          1          0          0          0          0          0          0          0          0          0          0 |       534
       .85 |       100        266        197         29          1          0          0          0          0          0          0          0          0          0          0          0 |       593
        .9 |       254        257         87          4          0          0          0          0          0          0          0          0          0          0          0          0 |       602
       .95 |       381        165         19          1          0          0          0          0          0          0          0          0          0          0          0          0 |       566
         1 |       244         46          5          0          0          0          0          0          0          0          0          0          0          0          0          0 |       295
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         39 |        39
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         24        237 |       261
        .5 |         0          0          1         27        144        400        651        839        939        979        994        999        999      1,000        976        722 |     9,670
       .55 |         0          1         13        141        345        386        291        151         61         21          6          1          1          0          0          0 |     1,418
        .6 |         0          2         71        225        291        170         51         10          0          0          0          0          0          0          0          0 |       820
       .65 |         1         19        143        267        148         37          7          0          0          0          0          0          0          0          0          0 |       622
        .7 |         1         60        228        195         58          5          0          0          0          0          0          0          0          0          0          0 |       547
       .75 |        14        154        225         96         13          2          0          0          0          0          0          0          0          0          0          0 |       504
        .8 |        50        224        186         43          0          0          0          0          0          0          0          0          0          0          0          0 |       503
       .85 |       177        256        100          6          1          0          0          0          0          0          0          0          0          0          0          0 |       540
        .9 |       312        200         27          0          0          0          0          0          0          0          0          0          0          0          0          0 |       539
       .95 |       315         64          6          0          0          0          0          0          0          0          0          0          0          0          0          0 |       385
         1 |       130         20          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       150
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         4        996 |     1,000
         4 |         6        994 |     1,000
         5 |        16        984 |     1,000
         6 |        38        962 |     1,000
         7 |        67        933 |     1,000
         8 |       104        896 |     1,000
         9 |       122        878 |     1,000
        10 |       129        871 |     1,000
        11 |       134        866 |     1,000
        12 |       137        863 |     1,000
        13 |       137        863 |     1,000
        14 |       137        863 |     1,000
        15 |       137        863 |     1,000
        20 |       137        863 |     1,000
        25 |       138        862 |     1,000
        30 |       151        849 |     1,000
-----------+----------------------+----------
     Total |     1,594     14,406 |    16,000

Case 1: z=95  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     5,109     45,122 |    50,231
         1 |     5,077     44,677 |    49,754
         2 |     4,972     44,970 |    49,942
         3 |     4,982     45,016 |    49,998
         4 |     4,946     45,181 |    50,127
         5 |     4,928     44,661 |    49,589
         6 |     4,940     45,213 |    50,153
         7 |     5,047     45,069 |    50,116
         8 |     4,990     45,231 |    50,221
         9 |     4,977     44,892 |    49,869
-----------+----------------------+----------
     Total |    49,968    450,032 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     4,895     42,779 |    47,674
         1 |     4,806     42,430 |    47,236
         2 |     4,702     42,759 |    47,461
         3 |     4,736     42,750 |    47,486
         4 |     4,707     42,910 |    47,617
         5 |     4,674     42,354 |    47,028
         6 |     4,703     42,955 |    47,658
         7 |     4,781     42,812 |    47,593
         8 |     4,752     42,996 |    47,748
         9 |     4,724     42,621 |    47,345
-----------+----------------------+----------
     Total |    47,480    427,366 |   474,846


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       214      2,343 |     2,557
         1 |       271      2,247 |     2,518
         2 |       270      2,211 |     2,481
         3 |       246      2,266 |     2,512
         4 |       239      2,271 |     2,510
         5 |       254      2,307 |     2,561
         6 |       237      2,258 |     2,495
         7 |       266      2,257 |     2,523
         8 |       238      2,235 |     2,473
         9 |       253      2,271 |     2,524
-----------+----------------------+----------
     Total |     2,488     22,666 |    25,154

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .05 |         2          2          2          2          3          3          3          3          4          4          4          4          4          4          4          4 |        52
        .1 |         6          8         15         22         36         43         48         49         50         51         51         52         52         52         52         57 |       644
       .15 |        22         45         57         75         85        100        101        108        110        109        110        109        109        109        109        113 |     1,471
        .2 |        78         85        117        139        157        178        195        205        205        208        207        207        207        207        208        217 |     2,820
       .25 |       145        159        182        220        246        243        256        252        254        252        254        254        255        255        257        256 |     3,740
        .3 |       192        206        219        223        202        216        211        212        213        214        214        214        213        213        210        201 |     3,373
       .35 |       194        201        189        158        160        143        126        121        122        121        120        121        121        121        121        116 |     2,255
        .4 |       167        145        121        104         88         59         54         47         39         38         37         36         36         36         36         33 |     1,076
       .45 |       103         93         74         46         17         10          3          2          2          2          2          2          2          2          2          2 |       364
        .5 |        56         35         16          7          4          4          2          1          1          1          1          1          1          1          1          1 |       133
       .55 |        26         15          5          3          2          1          1          0          0          0          0          0          0          0          0          0 |        53
        .6 |         6          6          3          1          0          0          0          0          0          0          0          0          0          0          0          0 |        16
       .65 |         2          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
        .7 |         1          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         1
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          2         44 |        46
        .5 |         0          0          0          4         59        210        483        725        872        957        979        994        998      1,000        998        956 |     9,235
       .55 |         0          1          4         54        226        385        371        232        124         43         21          6          2          0          0          0 |     1,469
        .6 |         0          0         23        142        284        276        117         42          4          0          0          0          0          0          0          0 |       888
       .65 |         0          3         66        227        243         95         25          1          0          0          0          0          0          0          0          0 |       660
        .7 |         0         25        145        241        124         30          3          0          0          0          0          0          0          0          0          0 |       568
       .75 |         0         69        225        196         50          3          1          0          0          0          0          0          0          0          0          0 |       544
        .8 |        21        168        229        102         13          1          0          0          0          0          0          0          0          0          0          0 |       534
       .85 |       100        266        197         29          1          0          0          0          0          0          0          0          0          0          0          0 |       593
        .9 |       254        257         87          4          0          0          0          0          0          0          0          0          0          0          0          0 |       602
       .95 |       381        165         19          1          0          0          0          0          0          0          0          0          0          0          0          0 |       566
         1 |       244         46          5          0          0          0          0          0          0          0          0          0          0          0          0          0 |       295
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          3 |         3
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          5        123 |       128
        .5 |         0          0          1         11         94        291        575        792        911        968        987        997        999      1,000        995        874 |     9,495
       .55 |         0          1          6         85        275        411        325        187         89         32         13          3          1          0          0          0 |     1,428
        .6 |         0          1         44        205        306        218         86         21          0          0          0          0          0          0          0          0 |       881
       .65 |         0          7         94        245        209         60         13          0          0          0          0          0          0          0          0          0 |       628
        .7 |         0         38        196        222         84         18          1          0          0          0          0          0          0          0          0          0 |       559
       .75 |         6        103        237        148         31          1          0          0          0          0          0          0          0          0          0          0 |       526
        .8 |        28        205        208         65          0          1          0          0          0          0          0          0          0          0          0          0 |       507
       .85 |       140        271        157         17          1          0          0          0          0          0          0          0          0          0          0          0 |       586
        .9 |       286        246         43          2          0          0          0          0          0          0          0          0          0          0          0          0 |       577
       .95 |       350         95         11          0          0          0          0          0          0          0          0          0          0          0          0          0 |       456
         1 |       190         33          3          0          0          0          0          0          0          0          0          0          0          0          0          0 |       226
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |     1,000 |     1,000
         4 |     1,000 |     1,000
         5 |     1,000 |     1,000
         6 |     1,000 |     1,000
         7 |     1,000 |     1,000
         8 |     1,000 |     1,000
         9 |     1,000 |     1,000
        10 |     1,000 |     1,000
        11 |     1,000 |     1,000
        12 |     1,000 |     1,000
        13 |     1,000 |     1,000
        14 |     1,000 |     1,000
        15 |     1,000 |     1,000
        20 |     1,000 |     1,000
        25 |     1,000 |     1,000
        30 |     1,000 |     1,000
-----------+-----------+----------
     Total |    16,000 |    16,000

Calculations for Case 2...
Case q=15  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     5,109     45,122 |    50,231
         1 |     5,077     44,677 |    49,754
         2 |     4,972     44,970 |    49,942
         3 |     4,982     45,016 |    49,998
         4 |     4,946     45,181 |    50,127
         5 |     4,928     44,661 |    49,589
         6 |     4,940     45,213 |    50,153
         7 |     5,047     45,069 |    50,116
         8 |     4,990     45,231 |    50,221
         9 |     4,977     44,892 |    49,869
-----------+----------------------+----------
     Total |    49,968    450,032 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    42,711      7,520 |    50,231
         1 |    42,212      7,542 |    49,754
         2 |    42,342      7,600 |    49,942
         3 |    42,301      7,697 |    49,998
         4 |    42,619      7,508 |    50,127
         5 |    42,122      7,467 |    49,589
         6 |    42,564      7,589 |    50,153
         7 |    42,589      7,527 |    50,116
         8 |    42,825      7,396 |    50,221
         9 |    42,430      7,439 |    49,869
-----------+----------------------+----------
     Total |   424,715     75,285 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |       233         33          3          1          0          1         14         49        167        382        593        750        837        928        922        817 |     5,730
        .1 |       370        146         25          6          1         15         54        187        357        395        325        219        148         69         75        167 |     2,559
        .2 |       275        259         95         32         33         63        160        309        305        167         67         28         15          3          3         16 |     1,830
        .3 |        96        285        188         87         80        148        257        270        128         48         15          3          0          0          0          0 |     1,605
        .4 |        25        167        250        158        151        220        257        131         35          7          0          0          0          0          0          0 |     1,401
        .5 |         1         80        210        260        244        249        165         47          6          1          0          0          0          0          0          0 |     1,263
        .6 |         0         26        144        212        229        199         76          6          2          0          0          0          0          0          0          0 |       894
        .7 |         0          2         65        164        176         74         12          0          0          0          0          0          0          0          0          0 |       493
        .8 |         0          1         20         62         66         26          5          1          0          0          0          0          0          0          0          0 |       181
        .9 |         0          1          0         16         17          5          0          0          0          0          0          0          0          0          0          0 |        39
         1 |         0          0          0          2          3          0          0          0          0          0          0          0          0          0          0          0 |         5
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         11 |        11
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         23        186 |       209
        .5 |         0          0          0          0          1         12         54        197        421        648        808        896        949        994        971        797 |     6,748
       .55 |         0          0          0          1          6         63        222        369        387        288        174         99         51          6          6          6 |     1,678
        .6 |         0          0          0          2         54        186        313        290        149         58         17          5          0          0          0          0 |     1,074
       .65 |         0          0          1         24        115        250        262        116         39          6          1          0          0          0          0          0 |       814
        .7 |         0          1         14         83        240        260        113         23          4          0          0          0          0          0          0          0 |       738
       .75 |         0          2         47        181        270        157         29          5          0          0          0          0          0          0          0          0 |       691
        .8 |         1         18        114        259        204         58          6          0          0          0          0          0          0          0          0          0 |       660
       .85 |        12        107        263        266         85         12          1          0          0          0          0          0          0          0          0          0 |       746
        .9 |        86        252        289        132         20          2          0          0          0          0          0          0          0          0          0          0 |       781
       .95 |       367        375        206         47          5          0          0          0          0          0          0          0          0          0          0          0 |     1,000
         1 |       534        245         66          5          0          0          0          0          0          0          0          0          0          0          0          0 |       850
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |       233        767          0 |     1,000
         4 |        33        967          0 |     1,000
         5 |         3        997          0 |     1,000
         6 |         1        997          2 |     1,000
         7 |         0        997          3 |     1,000
         8 |         1        999          0 |     1,000
         9 |        14        986          0 |     1,000
        10 |        49        951          0 |     1,000
        11 |       167        833          0 |     1,000
        12 |       382        618          0 |     1,000
        13 |       593        407          0 |     1,000
        14 |       750        250          0 |     1,000
        15 |       837        163          0 |     1,000
        20 |       928         72          0 |     1,000
        25 |       922         78          0 |     1,000
        30 |       817        183          0 |     1,000
-----------+---------------------------------+----------
     Total |     5,730     10,265          5 |    16,000

Case q=10  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     5,109     45,122 |    50,231
         1 |     5,077     44,677 |    49,754
         2 |     4,972     44,970 |    49,942
         3 |     4,982     45,016 |    49,998
         4 |     4,946     45,181 |    50,127
         5 |     4,928     44,661 |    49,589
         6 |     4,940     45,213 |    50,153
         7 |     5,047     45,069 |    50,116
         8 |     4,990     45,231 |    50,221
         9 |     4,977     44,892 |    49,869
-----------+----------------------+----------
     Total |    49,968    450,032 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    45,183      5,048 |    50,231
         1 |    44,769      4,985 |    49,754
         2 |    44,883      5,059 |    49,942
         3 |    44,799      5,199 |    49,998
         4 |    45,142      4,985 |    50,127
         5 |    44,683      4,906 |    49,589
         6 |    45,130      5,023 |    50,153
         7 |    45,190      4,926 |    50,116
         8 |    45,242      4,979 |    50,221
         9 |    44,925      4,944 |    49,869
-----------+----------------------+----------
     Total |   449,946     50,054 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |        82          9          3          2          9         54        197        493        689        801        839        862        869        875        875        833 |     7,492
        .1 |       277         58         20         18         62        206        417        358        266        185        155        133        126        120        120        155 |     2,676
        .2 |       321        162         60         70        165        316        252        127         43         14          6          5          5          5          5         12 |     1,568
        .3 |       200        251        152        157        244        230        100         20          2          0          0          0          0          0          0          0 |     1,356
        .4 |        92        239        230        232        253        143         32          2          0          0          0          0          0          0          0          0 |     1,223
        .5 |        23        163        224        248        174         42          2          0          0          0          0          0          0          0          0          0 |       876
        .6 |         5         90        189        166         70          9          0          0          0          0          0          0          0          0          0          0 |       529
        .7 |         0         24         81         76         19          0          0          0          0          0          0          0          0          0          0          0 |       200
        .8 |         0          3         36         24          4          0          0          0          0          0          0          0          0          0          0          0 |        67
        .9 |         0          1          4          7          0          0          0          0          0          0          0          0          0          0          0          0 |        12
         1 |         0          0          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |         1
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          4 |         4
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          5         72 |        77
        .5 |         0          0          4         63        221        468        707        844        900        920        929        932        933        936        931        863 |     9,651
       .55 |         0          2         35        181        371        372        245        141         95         79         70         67         66         63         63         60 |     1,910
        .6 |         1         11        124        279        257        134         47         15          5          1          1          1          1          1          1          1 |       880
       .65 |         2         59        208        261        113         23          1          0          0          0          0          0          0          0          0          0 |       667
        .7 |         8        142        272        147         32          3          0          0          0          0          0          0          0          0          0          0 |       604
       .75 |        59        235        211         51          6          0          0          0          0          0          0          0          0          0          0          0 |       562
        .8 |       160        248         98         16          0          0          0          0          0          0          0          0          0          0          0          0 |       522
       .85 |       264        195         36          1          0          0          0          0          0          0          0          0          0          0          0          0 |       496
        .9 |       301         79         12          1          0          0          0          0          0          0          0          0          0          0          0          0 |       393
       .95 |       159         26          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       185
         1 |        46          3          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        49
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |        82        918          0 |     1,000
         4 |         9        991          0 |     1,000
         5 |         3        996          1 |     1,000
         6 |         2        998          0 |     1,000
         7 |         9        991          0 |     1,000
         8 |        54        946          0 |     1,000
         9 |       197        803          0 |     1,000
        10 |       493        507          0 |     1,000
        11 |       689        311          0 |     1,000
        12 |       801        199          0 |     1,000
        13 |       839        161          0 |     1,000
        14 |       862        138          0 |     1,000
        15 |       869        131          0 |     1,000
        20 |       875        125          0 |     1,000
        25 |       875        125          0 |     1,000
        30 |       833        167          0 |     1,000
-----------+---------------------------------+----------
     Total |     7,492      8,507          1 |    16,000

Case q=5  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     5,109     45,122 |    50,231
         1 |     5,077     44,677 |    49,754
         2 |     4,972     44,970 |    49,942
         3 |     4,982     45,016 |    49,998
         4 |     4,946     45,181 |    50,127
         5 |     4,928     44,661 |    49,589
         6 |     4,940     45,213 |    50,153
         7 |     5,047     45,069 |    50,116
         8 |     4,990     45,231 |    50,221
         9 |     4,977     44,892 |    49,869
-----------+----------------------+----------
     Total |    49,968    450,032 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    47,710      2,521 |    50,231
         1 |    47,290      2,464 |    49,754
         2 |    47,402      2,540 |    49,942
         3 |    47,456      2,542 |    49,998
         4 |    47,565      2,562 |    50,127
         5 |    47,107      2,482 |    49,589
         6 |    47,691      2,462 |    50,153
         7 |    47,656      2,460 |    50,116
         8 |    47,758      2,463 |    50,221
         9 |    47,348      2,521 |    49,869
-----------+----------------------+----------
     Total |   474,983     25,017 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         2          0          0          2         27         96        210        301        354        392        402        407        408        410        409        404 |     3,824
        .1 |        12          5          5         33        141        266        343        376        400        393        394        395        396        394        395        384 |     4,332
        .2 |        58         16         26        113        240        296        289        230        181        162        153        150        148        148        147        162 |     2,519
        .3 |       161         48         81        209        257        214         98         72         54         42         40         37         38         38         39         40 |     1,468
        .4 |       253        141        161        230        202         94         48         19         10         10         10         10          9          9          9          8 |     1,223
        .5 |       237        231        259        218         93         24         11          2          1          1          1          1          1          1          1          2 |     1,084
        .6 |       153        237        229        139         34         10          1          0          0          0          0          0          0          0          0          0 |       803
        .7 |        90        189        145         48          5          0          0          0          0          0          0          0          0          0          0          0 |       477
        .8 |        28         88         80          8          1          0          0          0          0          0          0          0          0          0          0          0 |       205
        .9 |         6         43         12          0          0          0          0          0          0          0          0          0          0          0          0          0 |        61
         1 |         0          2          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         11 |        11
        .5 |        22        136        296        385        429        440        443        443        443        443        443        443        443        443        443        439 |     6,134
       .55 |        96        305        390        394        380        376        378        380        380        380        381        381        381        381        381        378 |     5,742
        .6 |       209        278        205        155        140        135        132        130        130        131        130        130        130        130        130        127 |     2,422
       .65 |       274        175         79         51         41         39         37         37         37         36         36         36         36         36         36         35 |     1,021
        .7 |       220         72         22         11          7          9          9          9          9          9          9          9          9          9          9          9 |       431
       .75 |       114         27          6          4          3          1          1          1          1          1          1          1          1          1          1          1 |       165
        .8 |        49          4          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        54
       .85 |        13          3          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        17
        .9 |         3          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |         2        998          0 |     1,000
         4 |         0        998          2 |     1,000
         5 |         0        998          2 |     1,000
         6 |         2        998          0 |     1,000
         7 |        27        973          0 |     1,000
         8 |        96        904          0 |     1,000
         9 |       210        790          0 |     1,000
        10 |       301        699          0 |     1,000
        11 |       354        646          0 |     1,000
        12 |       392        608          0 |     1,000
        13 |       402        598          0 |     1,000
        14 |       407        593          0 |     1,000
        15 |       408        592          0 |     1,000
        20 |       410        590          0 |     1,000
        25 |       409        591          0 |     1,000
        30 |       404        596          0 |     1,000
-----------+---------------------------------+----------
     Total |     3,824     12,172          4 |    16,000

Calculations for Case 3...
Case w=90  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |   5,109   45,122
          | .888628  .900891
          |
        1 |   5,077   44,677
          | .896592  .899389
          |
        2 |   4,972   44,970
          | .898833  .901823
          |
        3 |   4,982   45,016
          | .895223  .900524
          |
        4 |   4,946   45,181
          | .901739  .901109
          |
        5 |   4,928   44,661
          | .899148  .899039
          |
        6 |   4,940   45,213
          |  .89251  .899188
          |
        7 |   5,047   45,069
          | .897563  .900353
          |
        8 |   4,990   45,231
          | .902405  .900046
          |
        9 |   4,977   44,892
          | .891702   .89947
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       569      4,472 |     5,041
         1 |       525      4,495 |     5,020
         2 |       503      4,415 |     4,918
         3 |       522      4,478 |     5,000
         4 |       486      4,468 |     4,954
         5 |       497      4,509 |     5,006
         6 |       531      4,558 |     5,089
         7 |       517      4,491 |     5,008
         8 |       487      4,521 |     5,008
         9 |       539      4,513 |     5,052
-----------+----------------------+----------
     Total |     5,176     44,920 |    50,096


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         2          5         11         21         38         69        105        138        146        155        158        162        162        162        162        170 |     1,666
       .05 |        11         16         38         84        151        219        262        284        311        320        320        320        322        322        322        320 |     3,622
        .1 |        41         70        111        189        243        267        298        302        302        305        302        300        298        298        298        293 |     3,917
       .15 |       116        141        182        207        226        236        185        175        161        148        150        148        148        148        148        150 |     2,669
        .2 |       170        192        218        211        188        131        100         71         58         55         54         54         54         54         54         53 |     1,717
       .25 |       204        206        188        147         89         47         35         20         17         13         14         14         14         14         14         12 |     1,048
        .3 |       189        168        111         82         39         25         11          8          5          4          2          2          2          2          2          2 |       654
       .35 |       130        103         83         43         21          4          3          2          0          0          0          0          0          0          0          0 |       389
        .4 |        85         62         39         11          2          1          0          0          0          0          0          0          0          0          0          0 |       200
       .45 |        32         23         12          2          2          0          1          0          0          0          0          0          0          0          0          0 |        72
        .5 |        12          9          4          2          0          1          0          0          0          0          0          0          0          0          0          0 |        28
       .55 |         6          5          3          1          1          0          0          0          0          0          0          0          0          0          0          0 |        16
        .6 |         2          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          2         44 |        46
        .5 |         0          0          0          4         59        210        483        725        872        957        979        994        998      1,000        998        956 |     9,235
       .55 |         0          1          4         54        226        385        371        232        124         43         21          6          2          0          0          0 |     1,469
        .6 |         0          0         23        142        284        276        117         42          4          0          0          0          0          0          0          0 |       888
       .65 |         0          3         66        227        243         95         25          1          0          0          0          0          0          0          0          0 |       660
        .7 |         0         25        145        241        124         30          3          0          0          0          0          0          0          0          0          0 |       568
       .75 |         0         69        225        196         50          3          1          0          0          0          0          0          0          0          0          0 |       544
        .8 |        21        168        229        102         13          1          0          0          0          0          0          0          0          0          0          0 |       534
       .85 |       100        266        197         29          1          0          0          0          0          0          0          0          0          0          0          0 |       593
        .9 |       254        257         87          4          0          0          0          0          0          0          0          0          0          0          0          0 |       602
       .95 |       381        165         19          1          0          0          0          0          0          0          0          0          0          0          0          0 |       566
         1 |       244         46          5          0          0          0          0          0          0          0          0          0          0          0          0          0 |       295
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         2        998 |     1,000
         4 |         5        995 |     1,000
         5 |        11        989 |     1,000
         6 |        21        979 |     1,000
         7 |        38        962 |     1,000
         8 |        69        931 |     1,000
         9 |       105        895 |     1,000
        10 |       138        862 |     1,000
        11 |       146        854 |     1,000
        12 |       155        845 |     1,000
        13 |       158        842 |     1,000
        14 |       162        838 |     1,000
        15 |       162        838 |     1,000
        20 |       162        838 |     1,000
        25 |       162        838 |     1,000
        30 |       170        830 |     1,000
-----------+----------------------+----------
     Total |     1,666     14,334 |    16,000

Case w=95  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |   5,109   45,122
          | .946173  .949027
          |
        1 |   5,077   44,677
          | .948395  .950758
          |
        2 |   4,972   44,970
          | .948713  .950367
          |
        3 |   4,982   45,016
          |  .95002  .950262
          |
        4 |   4,946   45,181
          | .947432  .950422
          |
        5 |   4,928   44,661
          | .947037  .948904
          |
        6 |   4,940   45,213
          | .944332  .949683
          |
        7 |   5,047   45,069
          |  .95423  .949322
          |
        8 |   4,990   45,231
          |   .9499  .950432
          |
        9 |   4,977   44,892
          | .947559  .948588
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       275      2,300 |     2,575
         1 |       262      2,200 |     2,462
         2 |       255      2,232 |     2,487
         3 |       249      2,239 |     2,488
         4 |       260      2,240 |     2,500
         5 |       261      2,282 |     2,543
         6 |       275      2,275 |     2,550
         7 |       231      2,284 |     2,515
         8 |       250      2,242 |     2,492
         9 |       261      2,308 |     2,569
-----------+----------------------+----------
     Total |     2,579     22,602 |    25,181


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .05 |         1          1          1          1          1          5          5          7          7          8          8          8          8          8          8          9 |        86
        .1 |         3          6         12         17         22         22         28         35         38         39         39         39         40         40         40         40 |       460
       .15 |        26         28         40         54         70         83         99        108        114        116        116        116        115        115        115        119 |     1,434
        .2 |        59         73         84        117        156        199        212        222        231        235        239        240        240        241        241        241 |     3,030
       .25 |       114        134        156        194        199        218        231        229        225        229        227        230        230        229        229        229 |     3,303
        .3 |       180        192        211        214        224        214        212        208        209        205        207        203        204        204        204        201 |     3,292
       .35 |       206        187        184        182        179        150        136        131        127        123        119        122        121        121        121        120 |     2,329
        .4 |       167        173        146        117         96         79         60         46         39         37         37         34         34         34         34         33 |     1,166
       .45 |       126        108        101         72         39         23         11         12          9          7          7          7          7          7          7          7 |       550
        .5 |        70         66         44         26         11          7          6          2          1          1          1          1          1          1          1          1 |       240
       .55 |        33         24         16          3          2          0          0          0          0          0          0          0          0          0          0          0 |        78
        .6 |        10          5          3          2          1          0          0          0          0          0          0          0          0          0          0          0 |        21
       .65 |         5          3          2          1          0          0          0          0          0          0          0          0          0          0          0          0 |        11
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          2         44 |        46
        .5 |         0          0          0          4         59        210        483        725        872        957        979        994        998      1,000        998        956 |     9,235
       .55 |         0          1          4         54        226        385        371        232        124         43         21          6          2          0          0          0 |     1,469
        .6 |         0          0         23        142        284        276        117         42          4          0          0          0          0          0          0          0 |       888
       .65 |         0          3         66        227        243         95         25          1          0          0          0          0          0          0          0          0 |       660
        .7 |         0         25        145        241        124         30          3          0          0          0          0          0          0          0          0          0 |       568
       .75 |         0         69        225        196         50          3          1          0          0          0          0          0          0          0          0          0 |       544
        .8 |        21        168        229        102         13          1          0          0          0          0          0          0          0          0          0          0 |       534
       .85 |       100        266        197         29          1          0          0          0          0          0          0          0          0          0          0          0 |       593
        .9 |       254        257         87          4          0          0          0          0          0          0          0          0          0          0          0          0 |       602
       .95 |       381        165         19          1          0          0          0          0          0          0          0          0          0          0          0          0 |       566
         1 |       244         46          5          0          0          0          0          0          0          0          0          0          0          0          0          0 |       295
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |     1,000 |     1,000
         4 |     1,000 |     1,000
         5 |     1,000 |     1,000
         6 |     1,000 |     1,000
         7 |     1,000 |     1,000
         8 |     1,000 |     1,000
         9 |     1,000 |     1,000
        10 |     1,000 |     1,000
        11 |     1,000 |     1,000
        12 |     1,000 |     1,000
        13 |     1,000 |     1,000
        14 |     1,000 |     1,000
        15 |     1,000 |     1,000
        20 |     1,000 |     1,000
        25 |     1,000 |     1,000
        30 |     1,000 |     1,000
-----------+-----------+----------
     Total |    16,000 |    16,000

Case w=99  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |   5,109   45,122
          | .989822  .989384
          |
        1 |   5,077   44,677
          | .988576  .990219
          |
        2 |   4,972   44,970
          | .989743  .989971
          |
        3 |   4,982   45,016
          | .989562  .990337
          |
        4 |   4,946   45,181
          | .989486  .990217
          |
        5 |   4,928   44,661
          | .990869   .99026
          |
        6 |   4,940   45,213
          | .991093  .989339
          |
        7 |   5,047   45,069
          | .990886   .98915
          |
        8 |   4,990   45,231
          | .990782  .989631
          |
        9 |   4,977   44,892
          | .988346  .989285
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |        52        479 |       531
         1 |        58        437 |       495
         2 |        51        451 |       502
         3 |        52        435 |       487
         4 |        52        442 |       494
         5 |        45        435 |       480
         6 |        44        482 |       526
         7 |        46        489 |       535
         8 |        46        469 |       515
         9 |        58        481 |       539
-----------+----------------------+----------
     Total |       504      4,600 |     5,104


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         9          9          9         12         12         12         12         12         12         12         12         12         12         12         12         12 |       183
       .05 |        43         46         48         51         58         59         62         63         65         65         65         66         66         66         66         69 |       958
        .1 |       125        127        130        144        151        158        165        168        170        171        171        170        170        170        170        169 |     2,529
       .15 |       196        201        210        216        224        238        239        243        241        241        243        243        243        243        243        242 |     3,706
        .2 |       252        255        260        257        250        241        244        245        249        249        247        249        249        249        249        253 |     3,998
       .25 |       190        188        183        170        171        170        161        156        153        153        153        152        152        152        152        148 |     2,604
        .3 |       113        106         97         96         91         84         84         81         79         78         78         77         77         77         77         76 |     1,371
       .35 |        50         49         47         40         34         30         27         27         26         26         26         26         26         26         26         26 |       512
        .4 |        16         15         13         12          7          8          6          5          5          5          5          5          5          5          5          5 |       122
       .45 |         6          4          3          2          2          0          0          0          0          0          0          0          0          0          0          0 |        17
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          2         44 |        46
        .5 |         0          0          0          4         59        210        483        725        872        957        979        994        998      1,000        998        956 |     9,235
       .55 |         0          1          4         54        226        385        371        232        124         43         21          6          2          0          0          0 |     1,469
        .6 |         0          0         23        142        284        276        117         42          4          0          0          0          0          0          0          0 |       888
       .65 |         0          3         66        227        243         95         25          1          0          0          0          0          0          0          0          0 |       660
        .7 |         0         25        145        241        124         30          3          0          0          0          0          0          0          0          0          0 |       568
       .75 |         0         69        225        196         50          3          1          0          0          0          0          0          0          0          0          0 |       544
        .8 |        21        168        229        102         13          1          0          0          0          0          0          0          0          0          0          0 |       534
       .85 |       100        266        197         29          1          0          0          0          0          0          0          0          0          0          0          0 |       593
        .9 |       254        257         87          4          0          0          0          0          0          0          0          0          0          0          0          0 |       602
       .95 |       381        165         19          1          0          0          0          0          0          0          0          0          0          0          0          0 |       566
         1 |       244         46          5          0          0          0          0          0          0          0          0          0          0          0          0          0 |       295
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         9        991 |     1,000
         4 |         9        991 |     1,000
         5 |         9        991 |     1,000
         6 |        12        988 |     1,000
         7 |        12        988 |     1,000
         8 |        12        988 |     1,000
         9 |        12        988 |     1,000
        10 |        12        988 |     1,000
        11 |        12        988 |     1,000
        12 |        12        988 |     1,000
        13 |        12        988 |     1,000
        14 |        12        988 |     1,000
        15 |        12        988 |     1,000
        20 |        12        988 |     1,000
        25 |        12        988 |     1,000
        30 |        12        988 |     1,000
-----------+----------------------+----------
     Total |       183     15,817 |    16,000

Calculations for Case 1...
Case 1: z=70  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,528     47,703 |    50,231
         1 |     2,556     47,198 |    49,754
         2 |     2,457     47,485 |    49,942
         3 |     2,451     47,547 |    49,998
         4 |     2,439     47,688 |    50,127
         5 |     2,517     47,072 |    49,589
         6 |     2,488     47,665 |    50,153
         7 |     2,569     47,547 |    50,116
         8 |     2,490     47,731 |    50,221
         9 |     2,412     47,457 |    49,869
-----------+----------------------+----------
     Total |    24,907    475,093 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     1,782     33,245 |    35,027
         1 |     1,761     33,098 |    34,859
         2 |     1,705     33,271 |    34,976
         3 |     1,750     33,333 |    35,083
         4 |     1,727     33,278 |    35,005
         5 |     1,751     32,997 |    34,748
         6 |     1,716     33,318 |    35,034
         7 |     1,804     33,302 |    35,106
         8 |     1,755     33,547 |    35,302
         9 |     1,668     33,359 |    35,027
-----------+----------------------+----------
     Total |    17,419    332,748 |   350,167


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       746     14,458 |    15,204
         1 |       795     14,100 |    14,895
         2 |       752     14,214 |    14,966
         3 |       701     14,214 |    14,915
         4 |       712     14,410 |    15,122
         5 |       766     14,075 |    14,841
         6 |       772     14,347 |    15,119
         7 |       765     14,245 |    15,010
         8 |       735     14,184 |    14,919
         9 |       744     14,098 |    14,842
-----------+----------------------+----------
     Total |     7,488    142,345 |   149,833

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |       279        595        847        954        988        998      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    14,661
       .05 |       345        319        144         44         12          2          0          0          0          0          0          0          0          0          0          0 |       866
        .1 |       251         73          9          2          0          0          0          0          0          0          0          0          0          0          0          0 |       335
       .15 |       101         11          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       112
        .2 |        22          2          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        24
       .25 |         2          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          8 |         9
        .5 |         3         56        300        653        864        963        992        997        999      1,000      1,000      1,000      1,000      1,000        999        992 |    12,818
       .55 |        24        195        402        290        129         36          8          3          1          0          0          0          0          0          0          0 |     1,088
        .6 |        71        291        210         48          7          1          0          0          0          0          0          0          0          0          0          0 |       628
       .65 |       173        264         67          9          0          0          0          0          0          0          0          0          0          0          0          0 |       513
        .7 |       222        124         19          0          0          0          0          0          0          0          0          0          0          0          0          0 |       365
       .75 |       225         54          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |       281
        .8 |       173         15          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       188
       .85 |        80          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        81
        .9 |        25          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        25
       .95 |         4          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .2 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          8 |         8
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         49 |        49
        .3 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0        163 |       163
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          8        310 |       318
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1         86        322 |       409
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0         42        349        124 |       515
        .5 |        65        340        723        920        980        996      1,000      1,000      1,000      1,000      1,000      1,000      1,000        957        557         24 |    12,562
       .55 |       164        400        238         74         20          4          0          0          0          0          0          0          0          0          0          0 |       900
        .6 |       270        191         35          6          0          0          0          0          0          0          0          0          0          0          0          0 |       502
       .65 |       264         54          4          0          0          0          0          0          0          0          0          0          0          0          0          0 |       322
        .7 |       154         12          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       166
       .75 |        66          3          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        69
        .8 |        15          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        15
       .85 |         2          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |       279        721 |     1,000
         4 |       595        405 |     1,000
         5 |       847        153 |     1,000
         6 |       954         46 |     1,000
         7 |       988         12 |     1,000
         8 |       998          2 |     1,000
         9 |     1,000          0 |     1,000
        10 |     1,000          0 |     1,000
        11 |     1,000          0 |     1,000
        12 |     1,000          0 |     1,000
        13 |     1,000          0 |     1,000
        14 |     1,000          0 |     1,000
        15 |     1,000          0 |     1,000
        20 |     1,000          0 |     1,000
        25 |     1,000          0 |     1,000
        30 |     1,000          0 |     1,000
-----------+----------------------+----------
     Total |    14,661      1,339 |    16,000

Case 1: z=80  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,528     47,703 |    50,231
         1 |     2,556     47,198 |    49,754
         2 |     2,457     47,485 |    49,942
         3 |     2,451     47,547 |    49,998
         4 |     2,439     47,688 |    50,127
         5 |     2,517     47,072 |    49,589
         6 |     2,488     47,665 |    50,153
         7 |     2,569     47,547 |    50,116
         8 |     2,490     47,731 |    50,221
         9 |     2,412     47,457 |    49,869
-----------+----------------------+----------
     Total |    24,907    475,093 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,051     38,107 |    40,158
         1 |     2,044     37,861 |    39,905
         2 |     1,963     37,992 |    39,955
         3 |     1,979     38,047 |    40,026
         4 |     1,976     37,989 |    39,965
         5 |     2,027     37,622 |    39,649
         6 |     1,976     38,109 |    40,085
         7 |     2,034     37,999 |    40,033
         8 |     1,990     38,279 |    40,269
         9 |     1,921     37,912 |    39,833
-----------+----------------------+----------
     Total |    19,961    379,917 |   399,878


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       477      9,596 |    10,073
         1 |       512      9,337 |     9,849
         2 |       494      9,493 |     9,987
         3 |       472      9,500 |     9,972
         4 |       463      9,699 |    10,162
         5 |       490      9,450 |     9,940
         6 |       512      9,556 |    10,068
         7 |       535      9,548 |    10,083
         8 |       500      9,452 |     9,952
         9 |       491      9,545 |    10,036
-----------+----------------------+----------
     Total |     4,946     95,176 |   100,122

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |       274        539        786        904        947        962        963        965        965        965        965        965        965        965        966        966 |    14,062
       .05 |       347        338        195         94         53         38         37         35         35         35         35         35         35         35         34         34 |     1,415
        .1 |       253        103         19          2          0          0          0          0          0          0          0          0          0          0          0          0 |       377
       .15 |        98         16          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       114
        .2 |        25          4          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        29
       .25 |         3          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          8 |         9
        .5 |         3         56        300        653        864        963        992        997        999      1,000      1,000      1,000      1,000      1,000        999        992 |    12,818
       .55 |        24        195        402        290        129         36          8          3          1          0          0          0          0          0          0          0 |     1,088
        .6 |        71        291        210         48          7          1          0          0          0          0          0          0          0          0          0          0 |       628
       .65 |       173        264         67          9          0          0          0          0          0          0          0          0          0          0          0          0 |       513
        .7 |       222        124         19          0          0          0          0          0          0          0          0          0          0          0          0          0 |       365
       .75 |       225         54          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |       281
        .8 |       173         15          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       188
       .85 |        80          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        81
        .9 |        25          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        25
       .95 |         4          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .35 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         23 |        23
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          4        139 |       143
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         68        414 |       482
        .5 |        24        212        584        852        954        992        997      1,000      1,000      1,000      1,000      1,000      1,000      1,000        928        424 |    12,967
       .55 |        96        359        326        136         46          8          3          0          0          0          0          0          0          0          0          0 |       974
        .6 |       201        260         72         11          0          0          0          0          0          0          0          0          0          0          0          0 |       544
       .65 |       265        120         17          1          0          0          0          0          0          0          0          0          0          0          0          0 |       403
        .7 |       209         40          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |       250
       .75 |       139          6          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       145
        .8 |        53          3          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        56
       .85 |        12          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        12
        .9 |         1          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         1
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |       274        726 |     1,000
         4 |       539        461 |     1,000
         5 |       786        214 |     1,000
         6 |       904         96 |     1,000
         7 |       947         53 |     1,000
         8 |       962         38 |     1,000
         9 |       963         37 |     1,000
        10 |       965         35 |     1,000
        11 |       965         35 |     1,000
        12 |       965         35 |     1,000
        13 |       965         35 |     1,000
        14 |       965         35 |     1,000
        15 |       965         35 |     1,000
        20 |       965         35 |     1,000
        25 |       966         34 |     1,000
        30 |       966         34 |     1,000
-----------+----------------------+----------
     Total |    14,062      1,938 |    16,000

Case 1: z=90  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,528     47,703 |    50,231
         1 |     2,556     47,198 |    49,754
         2 |     2,457     47,485 |    49,942
         3 |     2,451     47,547 |    49,998
         4 |     2,439     47,688 |    50,127
         5 |     2,517     47,072 |    49,589
         6 |     2,488     47,665 |    50,153
         7 |     2,569     47,547 |    50,116
         8 |     2,490     47,731 |    50,221
         9 |     2,412     47,457 |    49,869
-----------+----------------------+----------
     Total |    24,907    475,093 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,300     42,824 |    45,124
         1 |     2,289     42,525 |    44,814
         2 |     2,199     42,751 |    44,950
         3 |     2,211     42,766 |    44,977
         4 |     2,212     42,856 |    45,068
         5 |     2,272     42,261 |    44,533
         6 |     2,247     42,853 |    45,100
         7 |     2,305     42,749 |    45,054
         8 |     2,226     43,047 |    45,273
         9 |     2,185     42,702 |    44,887
-----------+----------------------+----------
     Total |    22,446    427,334 |   449,780


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       228      4,879 |     5,107
         1 |       267      4,673 |     4,940
         2 |       258      4,734 |     4,992
         3 |       240      4,781 |     5,021
         4 |       227      4,832 |     5,059
         5 |       245      4,811 |     5,056
         6 |       241      4,812 |     5,053
         7 |       264      4,798 |     5,062
         8 |       264      4,684 |     4,948
         9 |       227      4,755 |     4,982
-----------+----------------------+----------
     Total |     2,461     47,759 |    50,220

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |        83        135        174        196        207        210        210        210        210        210        210        210        210        210        210        216 |     3,111
       .05 |       250        336        368        381        386        387        389        389        389        389        389        389        389        389        391        386 |     5,997
        .1 |       276        267        263        257        252        252        251        252        252        252        252        252        252        252        251        250 |     4,083
       .15 |       204        171        147        129        126        124        123        122        122        122        122        122        122        122        121        121 |     2,120
        .2 |       129         67         35         30         23         21         21         21         21         21         21         21         21         21         21         21 |       515
       .25 |        41         17         12          6          5          5          5          5          5          5          5          5          5          5          5          5 |       136
        .3 |        14          7          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        35
       .35 |         3          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          8 |         9
        .5 |         3         56        300        653        864        963        992        997        999      1,000      1,000      1,000      1,000      1,000        999        992 |    12,818
       .55 |        24        195        402        290        129         36          8          3          1          0          0          0          0          0          0          0 |     1,088
        .6 |        71        291        210         48          7          1          0          0          0          0          0          0          0          0          0          0 |       628
       .65 |       173        264         67          9          0          0          0          0          0          0          0          0          0          0          0          0 |       513
        .7 |       222        124         19          0          0          0          0          0          0          0          0          0          0          0          0          0 |       365
       .75 |       225         54          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |       281
        .8 |       173         15          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       188
       .85 |        80          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        81
        .9 |        25          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        25
       .95 |         4          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          2 |         2
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          6        128 |       134
        .5 |         6        121        424        754        925        983        996        999      1,000      1,000      1,000      1,000      1,000      1,000        994        870 |    13,072
       .55 |        51        286        397        217         73         17          4          1          0          0          0          0          0          0          0          0 |     1,046
        .6 |       133        291        133         28          2          0          0          0          0          0          0          0          0          0          0          0 |       587
       .65 |       224        211         36          1          0          0          0          0          0          0          0          0          0          0          0          0 |       472
        .7 |       240         69         10          0          0          0          0          0          0          0          0          0          0          0          0          0 |       319
       .75 |       188         16          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       204
        .8 |       113          6          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       119
       .85 |        36          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        36
        .9 |         7          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         7
       .95 |         2          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |        83        917 |     1,000
         4 |       135        865 |     1,000
         5 |       174        826 |     1,000
         6 |       196        804 |     1,000
         7 |       207        793 |     1,000
         8 |       210        790 |     1,000
         9 |       210        790 |     1,000
        10 |       210        790 |     1,000
        11 |       210        790 |     1,000
        12 |       210        790 |     1,000
        13 |       210        790 |     1,000
        14 |       210        790 |     1,000
        15 |       210        790 |     1,000
        20 |       210        790 |     1,000
        25 |       210        790 |     1,000
        30 |       216        784 |     1,000
-----------+----------------------+----------
     Total |     3,111     12,889 |    16,000

Case 1: z=95  Tables 1, 2 and 2a

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,528     47,703 |    50,231
         1 |     2,556     47,198 |    49,754
         2 |     2,457     47,485 |    49,942
         3 |     2,451     47,547 |    49,998
         4 |     2,439     47,688 |    50,127
         5 |     2,517     47,072 |    49,589
         6 |     2,488     47,665 |    50,153
         7 |     2,569     47,547 |    50,116
         8 |     2,490     47,731 |    50,221
         9 |     2,412     47,457 |    49,869
-----------+----------------------+----------
     Total |    24,907    475,093 |   500,000


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,417     45,257 |    47,674
         1 |     2,417     44,819 |    47,236
         2 |     2,312     45,149 |    47,461
         3 |     2,335     45,151 |    47,486
         4 |     2,324     45,293 |    47,617
         5 |     2,388     44,640 |    47,028
         6 |     2,378     45,280 |    47,658
         7 |     2,433     45,160 |    47,593
         8 |     2,355     45,393 |    47,748
         9 |     2,293     45,052 |    47,345
-----------+----------------------+----------
     Total |    23,652    451,194 |   474,846


           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       111      2,446 |     2,557
         1 |       139      2,379 |     2,518
         2 |       145      2,336 |     2,481
         3 |       116      2,396 |     2,512
         4 |       115      2,395 |     2,510
         5 |       129      2,432 |     2,561
         6 |       110      2,385 |     2,495
         7 |       136      2,387 |     2,523
         8 |       135      2,338 |     2,473
         9 |       119      2,405 |     2,524
-----------+----------------------+----------
     Total |     1,255     23,899 |    25,154

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .05 |         6          7          8          9         11         11         11         11         11         11         11         11         11         11         11         11 |       162
        .1 |        37         48         54         58         58         59         59         59         59         59         59         59         59         59         59         62 |       907
       .15 |        85        107        120        123        124        124        124        124        124        124        124        124        124        124        124        123 |     1,922
        .2 |       201        213        221        226        233        233        233        233        233        233        233        233        233        233        233        233 |     3,657
       .25 |       231        252        264        267        262        264        264        264        265        265        265        265        265        265        265        267 |     4,190
        .3 |       204        187        176        172        175        175        176        176        175        175        175        175        175        175        175        176 |     2,842
       .35 |       140        129        115        115        108        105        104        104        104        104        104        104        104        104        104        100 |     1,748
        .4 |        72         47         34         24         25         25         25         26         26         26         26         26         26         26         26         25 |       485
       .45 |        21          8          6          5          3          3          3          2          2          2          2          2          2          2          2          2 |        67
        .5 |         1          1          2          1          1          1          1          1          1          1          1          1          1          1          1          1 |        17
       .55 |         2          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          8 |         9
        .5 |         3         56        300        653        864        963        992        997        999      1,000      1,000      1,000      1,000      1,000        999        992 |    12,818
       .55 |        24        195        402        290        129         36          8          3          1          0          0          0          0          0          0          0 |     1,088
        .6 |        71        291        210         48          7          1          0          0          0          0          0          0          0          0          0          0 |       628
       .65 |       173        264         67          9          0          0          0          0          0          0          0          0          0          0          0          0 |       513
        .7 |       222        124         19          0          0          0          0          0          0          0          0          0          0          0          0          0 |       365
       .75 |       225         54          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |       281
        .8 |       173         15          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       188
       .85 |        80          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        81
        .9 |        25          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        25
       .95 |         4          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1         34 |        35
        .5 |         5         90        361        709        896        975        993        998      1,000      1,000      1,000      1,000      1,000      1,000        999        966 |    12,992
       .55 |        33        248        402        250        100         25          7          2          0          0          0          0          0          0          0          0 |     1,067
        .6 |       103        281        179         37          4          0          0          0          0          0          0          0          0          0          0          0 |       604
       .65 |       191        237         43          4          0          0          0          0          0          0          0          0          0          0          0          0 |       475
        .7 |       248        103         14          0          0          0          0          0          0          0          0          0          0          0          0          0 |       365
       .75 |       205         32          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |       238
        .8 |       149          9          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       158
       .85 |        51          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        51
        .9 |        13          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        13
       .95 |         2          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |     1,000 |     1,000
         4 |     1,000 |     1,000
         5 |     1,000 |     1,000
         6 |     1,000 |     1,000
         7 |     1,000 |     1,000
         8 |     1,000 |     1,000
         9 |     1,000 |     1,000
        10 |     1,000 |     1,000
        11 |     1,000 |     1,000
        12 |     1,000 |     1,000
        13 |     1,000 |     1,000
        14 |     1,000 |     1,000
        15 |     1,000 |     1,000
        20 |     1,000 |     1,000
        25 |     1,000 |     1,000
        30 |     1,000 |     1,000
-----------+-----------+----------
     Total |    16,000 |    16,000

Calculations for Case 2...
Case q=15  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,528     47,703 |    50,231
         1 |     2,556     47,198 |    49,754
         2 |     2,457     47,485 |    49,942
         3 |     2,451     47,547 |    49,998
         4 |     2,439     47,688 |    50,127
         5 |     2,517     47,072 |    49,589
         6 |     2,488     47,665 |    50,153
         7 |     2,569     47,547 |    50,116
         8 |     2,490     47,731 |    50,221
         9 |     2,412     47,457 |    49,869
-----------+----------------------+----------
     Total |    24,907    475,093 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    42,711      7,520 |    50,231
         1 |    42,212      7,542 |    49,754
         2 |    42,342      7,600 |    49,942
         3 |    42,301      7,697 |    49,998
         4 |    42,619      7,508 |    50,127
         5 |    42,122      7,467 |    49,589
         6 |    42,564      7,589 |    50,153
         7 |    42,589      7,527 |    50,116
         8 |    42,825      7,396 |    50,221
         9 |    42,430      7,439 |    49,869
-----------+----------------------+----------
     Total |   424,715     75,285 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          0          0          0          0         11         33         88        173        262        323        356        402        396        372 |     2,416
        .1 |        20          1          0          0          1         10         39        112        259        350        399        412        415        403        410        397 |     3,228
        .2 |        61          5          0          1          6         49        134        278        322        293        229        189        176        153        150        178 |     2,224
        .3 |       173         23          6          4         37        104        244        299        215        127         81         60         40         30         32         41 |     1,516
        .4 |       227         75         27         31         82        229        258        172         76         44         24         14         12         12         12         10 |     1,305
        .5 |       225        134         69        104        231        267        190         75         33         11          5          2          1          0          0          2 |     1,349
        .6 |       169        222        181        209        254        211         96         26          4          1          0          0          0          0          0          0 |     1,373
        .7 |        94        272        263        277        231         95         17          4          3          1          0          0          0          0          0          0 |     1,257
        .8 |        26        199        284        238        124         28         10          1          0          0          0          0          0          0          0          0 |       910
        .9 |         4         54        130        108         31          6          1          0          0          0          0          0          0          0          0          0 |       334
         1 |         1         15         40         28          3          1          0          0          0          0          0          0          0          0          0          0 |        88
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         11 |        11
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0         23        186 |       209
        .5 |         0          0          0          0          1         12         54        197        421        648        808        896        949        994        971        797 |     6,748
       .55 |         0          0          0          1          6         63        222        369        387        288        174         99         51          6          6          6 |     1,678
        .6 |         0          0          0          2         54        186        313        290        149         58         17          5          0          0          0          0 |     1,074
       .65 |         0          0          1         24        115        250        262        116         39          6          1          0          0          0          0          0 |       814
        .7 |         0          1         14         83        240        260        113         23          4          0          0          0          0          0          0          0 |       738
       .75 |         0          2         47        181        270        157         29          5          0          0          0          0          0          0          0          0 |       691
        .8 |         1         18        114        259        204         58          6          0          0          0          0          0          0          0          0          0 |       660
       .85 |        12        107        263        266         85         12          1          0          0          0          0          0          0          0          0          0 |       746
        .9 |        86        252        289        132         20          2          0          0          0          0          0          0          0          0          0          0 |       781
       .95 |       367        375        206         47          5          0          0          0          0          0          0          0          0          0          0          0 |     1,000
         1 |       534        245         66          5          0          0          0          0          0          0          0          0          0          0          0          0 |       850
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |         0        999          1 |     1,000
         4 |         0        985         15 |     1,000
         5 |         0        960         40 |     1,000
         6 |         0        972         28 |     1,000
         7 |         0        997          3 |     1,000
         8 |         0        999          1 |     1,000
         9 |        11        989          0 |     1,000
        10 |        33        967          0 |     1,000
        11 |        88        912          0 |     1,000
        12 |       173        827          0 |     1,000
        13 |       262        738          0 |     1,000
        14 |       323        677          0 |     1,000
        15 |       356        644          0 |     1,000
        20 |       402        598          0 |     1,000
        25 |       396        604          0 |     1,000
        30 |       372        628          0 |     1,000
-----------+---------------------------------+----------
     Total |     2,416     13,496         88 |    16,000

Case q=10  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,528     47,703 |    50,231
         1 |     2,556     47,198 |    49,754
         2 |     2,457     47,485 |    49,942
         3 |     2,451     47,547 |    49,998
         4 |     2,439     47,688 |    50,127
         5 |     2,517     47,072 |    49,589
         6 |     2,488     47,665 |    50,153
         7 |     2,569     47,547 |    50,116
         8 |     2,490     47,731 |    50,221
         9 |     2,412     47,457 |    49,869
-----------+----------------------+----------
     Total |    24,907    475,093 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    45,183      5,048 |    50,231
         1 |    44,769      4,985 |    49,754
         2 |    44,883      5,059 |    49,942
         3 |    44,799      5,199 |    49,998
         4 |    45,142      4,985 |    50,127
         5 |    44,683      4,906 |    49,589
         6 |    45,130      5,023 |    50,153
         7 |    45,190      4,926 |    50,116
         8 |    45,242      4,979 |    50,221
         9 |    44,925      4,944 |    49,869
-----------+----------------------+----------
     Total |   449,946     50,054 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         0          0          1          3         29        100        193        294        350        362        377        381        382        385        384        371 |     3,612
        .1 |        16          1          3         23        113        277        370        406        404        416        408        409        407        405        406        411 |     4,475
        .2 |        68         13         22         95        240        287        271        200        180        170        165        160        162        161        161        168 |     2,523
        .3 |       156         57         90        186        280        208        119         82         51         38         36         36         35         35         35         34 |     1,478
        .4 |       243        128        177        275        187         86         37         14         15         14         14         14         14         14         14         15 |     1,261
        .5 |       216        221        230        219         99         36          9          4          0          0          0          0          0          0          0          1 |     1,035
        .6 |       169        269        235        137         42          6          1          0          0          0          0          0          0          0          0          0 |       859
        .7 |        98        203        150         53          7          0          0          0          0          0          0          0          0          0          0          0 |       511
        .8 |        30         84         78          8          2          0          0          0          0          0          0          0          0          0          0          0 |       202
        .9 |         3         23         14          1          1          0          0          0          0          0          0          0          0          0          0          0 |        42
         1 |         1          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .4 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          4 |         4
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          5         72 |        77
        .5 |         0          0          4         63        221        468        707        844        900        920        929        932        933        936        931        863 |     9,651
       .55 |         0          2         35        181        371        372        245        141         95         79         70         67         66         63         63         60 |     1,910
        .6 |         1         11        124        279        257        134         47         15          5          1          1          1          1          1          1          1 |       880
       .65 |         2         59        208        261        113         23          1          0          0          0          0          0          0          0          0          0 |       667
        .7 |         8        142        272        147         32          3          0          0          0          0          0          0          0          0          0          0 |       604
       .75 |        59        235        211         51          6          0          0          0          0          0          0          0          0          0          0          0 |       562
        .8 |       160        248         98         16          0          0          0          0          0          0          0          0          0          0          0          0 |       522
       .85 |       264        195         36          1          0          0          0          0          0          0          0          0          0          0          0          0 |       496
        .9 |       301         79         12          1          0          0          0          0          0          0          0          0          0          0          0          0 |       393
       .95 |       159         26          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       185
         1 |        46          3          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        49
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |         0        999          1 |     1,000
         4 |         0        999          1 |     1,000
         5 |         1        999          0 |     1,000
         6 |         3        997          0 |     1,000
         7 |        29        971          0 |     1,000
         8 |       100        900          0 |     1,000
         9 |       193        807          0 |     1,000
        10 |       294        706          0 |     1,000
        11 |       350        650          0 |     1,000
        12 |       362        638          0 |     1,000
        13 |       377        623          0 |     1,000
        14 |       381        619          0 |     1,000
        15 |       382        618          0 |     1,000
        20 |       385        615          0 |     1,000
        25 |       384        616          0 |     1,000
        30 |       371        629          0 |     1,000
-----------+---------------------------------+----------
     Total |     3,612     12,386          2 |    16,000

Case q=5  Tables 1 and 3

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |     2,528     47,703 |    50,231
         1 |     2,556     47,198 |    49,754
         2 |     2,457     47,485 |    49,942
         3 |     2,451     47,547 |    49,998
         4 |     2,439     47,688 |    50,127
         5 |     2,517     47,072 |    49,589
         6 |     2,488     47,665 |    50,153
         7 |     2,569     47,547 |    50,116
         8 |     2,490     47,731 |    50,221
         9 |     2,412     47,457 |    49,869
-----------+----------------------+----------
     Total |    24,907    475,093 |   500,000


           |           q
         x | no degree     degree |     Total
-----------+----------------------+----------
         0 |    47,710      2,521 |    50,231
         1 |    47,290      2,464 |    49,754
         2 |    47,402      2,540 |    49,942
         3 |    47,456      2,542 |    49,998
         4 |    47,565      2,562 |    50,127
         5 |    47,107      2,482 |    49,589
         6 |    47,691      2,462 |    50,153
         7 |    47,656      2,460 |    50,116
         8 |    47,758      2,463 |    50,221
         9 |    47,348      2,521 |    49,869
-----------+----------------------+----------
     Total |   474,983     25,017 |   500,000


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         2          2         28         98        155        178        189        191        192        193        193        193        193        193        193        196 |     2,389
        .1 |        13         26        119        237        300        343        352        352        353        352        352        353        353        353        353        347 |     4,558
        .2 |        56         84        234        316        319        300        289        293        292        292        293        292        292        292        291        294 |     4,229
        .3 |       125        196        257        207        155        133        127        124        123        123        122        122        122        122        123        122 |     2,303
        .4 |       216        272        199        105         53         35         34         31         31         31         31         31         31         31         31         32 |     1,194
        .5 |       268        208        110         31         17         10          8          8          8          8          8          8          8          8          8          8 |       724
        .6 |       173        122         45          5          0          0          1          1          1          1          1          1          1          1          1          1 |       355
        .7 |        99         66          6          1          1          1          0          0          0          0          0          0          0          0          0          0 |       174
        .8 |        40         21          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |        63
        .9 |         8          2          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        10
         1 |         0          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         1
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0         11 |        11
        .5 |        22        136        296        385        429        440        443        443        443        443        443        443        443        443        443        439 |     6,134
       .55 |        96        305        390        394        380        376        378        380        380        380        381        381        381        381        381        378 |     5,742
        .6 |       209        278        205        155        140        135        132        130        130        131        130        130        130        130        130        127 |     2,422
       .65 |       274        175         79         51         41         39         37         37         37         36         36         36         36         36         36         35 |     1,021
        .7 |       220         72         22         11          7          9          9          9          9          9          9          9          9          9          9          9 |       431
       .75 |       114         27          6          4          3          1          1          1          1          1          1          1          1          1          1          1 |       165
        .8 |        49          4          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        54
       .85 |        13          3          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |        17
        .9 |         3          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |         2        998          0 |     1,000
         4 |         2        997          1 |     1,000
         5 |        28        972          0 |     1,000
         6 |        98        902          0 |     1,000
         7 |       155        845          0 |     1,000
         8 |       178        822          0 |     1,000
         9 |       189        811          0 |     1,000
        10 |       191        809          0 |     1,000
        11 |       192        808          0 |     1,000
        12 |       193        807          0 |     1,000
        13 |       193        807          0 |     1,000
        14 |       193        807          0 |     1,000
        15 |       193        807          0 |     1,000
        20 |       193        807          0 |     1,000
        25 |       193        807          0 |     1,000
        30 |       196        804          0 |     1,000
-----------+---------------------------------+----------
     Total |     2,389     13,610          1 |    16,000

Calculations for Case 3...
Case w=90  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |   2,528   47,703
          | .895174  .899881
          |
        1 |   2,556   47,198
          | .899844  .899064
          |
        2 |   2,457   47,485
          | .904355  .901379
          |
        3 |   2,451   47,547
          | .898817  .900057
          |
        4 |   2,439   47,688
          | .907339  .900856
          |
        5 |   2,517   47,072
          | .897894  .899112
          |
        6 |   2,488   47,665
          | .895498  .898689
          |
        7 |   2,569   47,547
          |  .90035  .900057
          |
        8 |   2,490   47,731
          | .902008  .900191
          |
        9 |   2,412   47,457
          | .892206  .899024
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       265      4,776 |     5,041
         1 |       256      4,764 |     5,020
         2 |       235      4,683 |     4,918
         3 |       248      4,752 |     5,000
         4 |       226      4,728 |     4,954
         5 |       257      4,749 |     5,006
         6 |       260      4,829 |     5,089
         7 |       256      4,752 |     5,008
         8 |       244      4,764 |     5,008
         9 |       260      4,792 |     5,052
-----------+----------------------+----------
     Total |     2,507     47,589 |    50,096


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |        45         84        140        182        209        221        225        227        227        227        227        227        227        227        227        228 |     3,150
       .05 |       142        226        295        331        358        362        361        361        361        361        361        361        361        361        361        361 |     5,324
        .1 |       249        276        285        275        250        255        257        256        256        256        256        256        256        256        256        255 |     4,150
       .15 |       247        229        171        143        133        117        115        114        114        114        114        114        114        114        114        115 |     2,182
        .2 |       172        110         74         50         38         35         35         35         35         35         35         35         35         35         35         34 |       828
       .25 |        82         50         24         17         10          9          6          6          6          6          6          6          6          6          6          6 |       252
        .3 |        41         15          9          1          2          1          1          1          1          1          1          1          1          1          1          1 |        79
       .35 |        15          5          1          1          0          0          0          0          0          0          0          0          0          0          0          0 |        22
        .4 |         3          3          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |         7
       .45 |         2          2          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
        .5 |         2          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          8 |         9
        .5 |         3         56        300        653        864        963        992        997        999      1,000      1,000      1,000      1,000      1,000        999        992 |    12,818
       .55 |        24        195        402        290        129         36          8          3          1          0          0          0          0          0          0          0 |     1,088
        .6 |        71        291        210         48          7          1          0          0          0          0          0          0          0          0          0          0 |       628
       .65 |       173        264         67          9          0          0          0          0          0          0          0          0          0          0          0          0 |       513
        .7 |       222        124         19          0          0          0          0          0          0          0          0          0          0          0          0          0 |       365
       .75 |       225         54          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |       281
        .8 |       173         15          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       188
       .85 |        80          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        81
        .9 |        25          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        25
       .95 |         4          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |        45        955 |     1,000
         4 |        84        916 |     1,000
         5 |       140        860 |     1,000
         6 |       182        818 |     1,000
         7 |       209        791 |     1,000
         8 |       221        779 |     1,000
         9 |       225        775 |     1,000
        10 |       227        773 |     1,000
        11 |       227        773 |     1,000
        12 |       227        773 |     1,000
        13 |       227        773 |     1,000
        14 |       227        773 |     1,000
        15 |       227        773 |     1,000
        20 |       227        773 |     1,000
        25 |       227        773 |     1,000
        30 |       228        772 |     1,000
-----------+----------------------+----------
     Total |     3,150     12,850 |    16,000

Case w=95  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |   2,528   47,703
          | .950158  .948662
          |
        1 |   2,556   47,198
          | .945227  .950803
          |
        2 |   2,457   47,485
          | .950346  .950195
          |
        3 |   2,451   47,547
          | .949816   .95026
          |
        4 |   2,439   47,688
          | .947519   .95026
          |
        5 |   2,517   47,072
          | .943981  .948972
          |
        6 |   2,488   47,665
          | .944132  .949418
          |
        7 |   2,569   47,547
          | .956793   .94944
          |
        8 |   2,490   47,731
          |  .94739  .950535
          |
        9 |   2,412   47,457
          | .946932  .948564
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |       126      2,449 |     2,575
         1 |       140      2,322 |     2,462
         2 |       122      2,365 |     2,487
         3 |       123      2,365 |     2,488
         4 |       128      2,372 |     2,500
         5 |       141      2,402 |     2,543
         6 |       139      2,411 |     2,550
         7 |       111      2,404 |     2,515
         8 |       131      2,361 |     2,492
         9 |       128      2,441 |     2,569
-----------+----------------------+----------
     Total |     1,289     23,892 |    25,181


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .05 |         6          6          7         10         10         11         11         12         12         12         12         12         12         12         12         12 |       169
        .1 |        23         35         46         51         54         55         55         54         54         54         54         54         54         54         54         55 |       806
       .15 |        86        100        115        131        142        146        147        147        147        147        147        147        147        147        147        146 |     2,189
        .2 |       165        199        228        232        234        240        240        240        240        241        241        241        241        241        241        243 |     3,707
       .25 |       230        233        235        234        236        226        231        232        232        231        231        231        231        231        231        230 |     3,705
        .3 |       184        181        179        183        183        188        184        184        184        184        184        184        184        184        184        184 |     2,938
       .35 |       161        147        122        116        101         98         96         95         95         95         95         95         95         95         95         94 |     1,695
        .4 |        89         66         51         34         31         28         28         28         28         28         28         28         28         28         28         28 |       579
       .45 |        40         28         15          8          8          7          7          7          7          7          7          7          7          7          7          7 |       176
        .5 |        11          4          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        29
       .55 |         4          0          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |         5
        .6 |         1          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          8 |         9
        .5 |         3         56        300        653        864        963        992        997        999      1,000      1,000      1,000      1,000      1,000        999        992 |    12,818
       .55 |        24        195        402        290        129         36          8          3          1          0          0          0          0          0          0          0 |     1,088
        .6 |        71        291        210         48          7          1          0          0          0          0          0          0          0          0          0          0 |       628
       .65 |       173        264         67          9          0          0          0          0          0          0          0          0          0          0          0          0 |       513
        .7 |       222        124         19          0          0          0          0          0          0          0          0          0          0          0          0          0 |       365
       .75 |       225         54          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |       281
        .8 |       173         15          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       188
       .85 |        80          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        81
        .9 |        25          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        25
       .95 |         4          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |     1,000 |     1,000
         4 |     1,000 |     1,000
         5 |     1,000 |     1,000
         6 |     1,000 |     1,000
         7 |     1,000 |     1,000
         8 |     1,000 |     1,000
         9 |     1,000 |     1,000
        10 |     1,000 |     1,000
        11 |     1,000 |     1,000
        12 |     1,000 |     1,000
        13 |     1,000 |     1,000
        14 |     1,000 |     1,000
        15 |     1,000 |     1,000
        20 |     1,000 |     1,000
        25 |     1,000 |     1,000
        30 |     1,000 |     1,000
-----------+-----------+----------
     Total |    16,000 |    16,000

Case w=99  Tables 4 and 4a

----------+-----------------
          |        y
        x |   rural    urban
----------+-----------------
        0 |   2,528   47,703
          | .989715  .989414
          |
        1 |   2,556   47,198
          | .988263  .990148
          |
        2 |   2,457   47,485
          | .990639  .989913
          |
        3 |   2,451   47,547
          | .988576  .990346
          |
        4 |   2,439   47,688
          |  .98975  .990165
          |
        5 |   2,517   47,072
          | .988876  .990398
          |
        6 |   2,488   47,665
          | .990354  .989468
          |
        7 |   2,569   47,547
          | .991047  .989232
          |
        8 |   2,490   47,731
          | .991165  .989671
          |
        9 |   2,412   47,457
          | .986733  .989317
----------+-----------------

           |           y
         x |     rural      urban |     Total
-----------+----------------------+----------
         0 |        26        505 |       531
         1 |        30        465 |       495
         2 |        23        479 |       502
         3 |        28        459 |       487
         4 |        25        469 |       494
         5 |        28        452 |       480
         6 |        24        502 |       526
         7 |        23        512 |       535
         8 |        22        493 |       515
         9 |        32        507 |       539
-----------+----------------------+----------
     Total |       261      4,843 |     5,104


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         9          9         10         10         10         10         10         10         10         10         10         10         10         10         10         10 |       158
       .05 |        46         49         50         52         53         54         54         54         54         54         54         54         54         54         54         55 |       845
        .1 |       132        137        140        144        147        148        149        149        149        149        149        149        149        149        149        150 |     2,339
       .15 |       215        220        234        236        235        236        235        235        235        235        235        235        235        235        235        233 |     3,724
        .2 |       257        258        255        258        258        258        259        259        259        259        259        259        259        259        259        261 |     4,136
       .25 |       182        181        177        171        168        166        165        165        165        165        165        165        165        165        165        163 |     2,693
        .3 |       102         98         87         87         91         91         91         91         91         91         91         91         91         91         91         91 |     1,466
       .35 |        43         36         37         34         30         29         29         29         29         29         29         29         29         29         29         29 |       499
        .4 |        12         11          9          8          8          8          8          8          8          8          8          8          8          8          8          8 |       136
       .45 |         2          1          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .45 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          8 |         9
        .5 |         3         56        300        653        864        963        992        997        999      1,000      1,000      1,000      1,000      1,000        999        992 |    12,818
       .55 |        24        195        402        290        129         36          8          3          1          0          0          0          0          0          0          0 |     1,088
        .6 |        71        291        210         48          7          1          0          0          0          0          0          0          0          0          0          0 |       628
       .65 |       173        264         67          9          0          0          0          0          0          0          0          0          0          0          0          0 |       513
        .7 |       222        124         19          0          0          0          0          0          0          0          0          0          0          0          0          0 |       365
       .75 |       225         54          2          0          0          0          0          0          0          0          0          0          0          0          0          0 |       281
        .8 |       173         15          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |       188
       .85 |        80          1          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        81
        .9 |        25          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |        25
       .95 |         4          0          0          0          0          0          0          0          0          0          0          0          0          0          0          0 |         4
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |     1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000      1,000 |    16,000


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         9        991 |     1,000
         4 |         9        991 |     1,000
         5 |        10        990 |     1,000
         6 |        10        990 |     1,000
         7 |        10        990 |     1,000
         8 |        10        990 |     1,000
         9 |        10        990 |     1,000
        10 |        10        990 |     1,000
        11 |        10        990 |     1,000
        12 |        10        990 |     1,000
        13 |        10        990 |     1,000
        14 |        10        990 |     1,000
        15 |        10        990 |     1,000
        20 |        10        990 |     1,000
        25 |        10        990 |     1,000
        30 |        10        990 |     1,000
-----------+----------------------+----------
     Total |       158     15,842 |    16,000

LFS data
========================================
Calculations for Case 1...
Case 1: z=0  Tables 1, 2 and 2a

 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |     3,137      3,453 |     6,590
         55-59 |     3,089      3,277 |     6,366
         60-64 |     2,470      2,649 |     5,119
         65-69 |       439        518 |       957
---------------+----------------------+----------
         Total |     9,135      9,897 |    19,032


 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |     2,595      2,827 |     5,422
         55-59 |     2,516      2,704 |     5,220
         60-64 |     2,004      2,121 |     4,125
         65-69 |       349        410 |       759
---------------+----------------------+----------
         Total |     7,464      8,062 |    15,526


 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |       542        626 |     1,168
         55-59 |       573        573 |     1,146
         60-64 |       466        528 |       994
         65-69 |        90        108 |       198
---------------+----------------------+----------
         Total |     1,671      1,835 |     3,506

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |  problems
 threshold |      none |     Total
-----------+-----------+----------
         3 |         1 |         1
         4 |         1 |         1
         5 |         1 |         1
         6 |         1 |         1
         7 |         1 |         1
         8 |         1 |         1
         9 |         1 |         1
        10 |         1 |         1
        11 |         1 |         1
        12 |         1 |         1
        13 |         1 |         1
        14 |         1 |         1
        15 |         1 |         1
        20 |         1 |         1
        25 |         1 |         1
        30 |         1 |         1
-----------+-----------+----------
     Total |        16 |        16

Calculations for Case 2...
Case q=0  Tables 1 and 3

 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |     3,137      3,453 |     6,590
         55-59 |     3,089      3,277 |     6,366
         60-64 |     2,470      2,649 |     5,119
         65-69 |       439        518 |       957
---------------+----------------------+----------
         Total |     9,135      9,897 |    19,032


 age groups in |
      5 yearly |           q
     intervals |         0          1 |     Total
---------------+----------------------+----------
         50-54 |     5,606        984 |     6,590
         55-59 |     5,663        703 |     6,366
         60-64 |     4,748        371 |     5,119
         65-69 |       937         20 |       957
---------------+----------------------+----------
         Total |    16,954      2,078 |    19,032


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          0          0 |        14
       .25 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          1 |         2
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
      .875 |         0          0          0          0          0          0          0          0          0          0          0          0          0          1          1          1 |         3
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          0          0          0 |        13
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         1          0 |         1
         4 |         1          0 |         1
         5 |         1          0 |         1
         6 |         1          0 |         1
         7 |         1          0 |         1
         8 |         1          0 |         1
         9 |         1          0 |         1
        10 |         1          0 |         1
        11 |         1          0 |         1
        12 |         1          0 |         1
        13 |         1          0 |         1
        14 |         1          0 |         1
        15 |         1          0 |         1
        20 |         1          0 |         1
        25 |         0          1 |         1
        30 |         0          1 |         1
-----------+----------------------+----------
     Total |        14          2 |        16

Calculations for Case 3...
Case w=0  Tables 4 and 4a

----------+-------------------
age       |
groups in |
5 yearly  |        sex
intervals |     male    female
----------+-------------------
    50-54 |    3,137     3,453
          | .9576028  .9551115
          |
    55-59 |    3,089     3,277
          | .9750729  .9697894
          |
    60-64 |    2,470     2,649
          | .9643725  .9682899
          |
    65-69 |      439       518
          | .9658315   .972973
----------+-------------------

 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |       133        155 |       288
         55-59 |        77         99 |       176
         60-64 |        88         84 |       172
         65-69 |        15         14 |        29
---------------+----------------------+----------
         Total |       313        352 |       665


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |  problems
 threshold |      none |     Total
-----------+-----------+----------
         3 |         1 |         1
         4 |         1 |         1
         5 |         1 |         1
         6 |         1 |         1
         7 |         1 |         1
         8 |         1 |         1
         9 |         1 |         1
        10 |         1 |         1
        11 |         1 |         1
        12 |         1 |         1
        13 |         1 |         1
        14 |         1 |         1
        15 |         1 |         1
        20 |         1 |         1
        25 |         1 |         1
        30 |         1 |         1
-----------+-----------+----------
     Total |        16 |        16

LFS data (low paid only)
========================================
Calculations for Case 1...
Case 1: z=0  Tables 1, 2 and 2a

 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |       759      1,332 |     2,091
         55-59 |       773      1,087 |     1,860
         60-64 |       469        381 |       850
         65-69 |        33         25 |        58
---------------+----------------------+----------
         Total |     2,034      2,825 |     4,859


 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |       636      1,120 |     1,756
         55-59 |       652        934 |     1,586
         60-64 |       392        317 |       709
         65-69 |        28         22 |        50
---------------+----------------------+----------
         Total |     1,708      2,393 |     4,101


 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |       123        212 |       335
         55-59 |       121        153 |       274
         60-64 |        77         64 |       141
         65-69 |         5          3 |         8
---------------+----------------------+----------
         Total |       326        432 |       758

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
      .875 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          0 |        15
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
       .75 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
      .875 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          1          0 |         1
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          0          0 |        14
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |  problems
 threshold |      none |     Total
-----------+-----------+----------
         3 |         1 |         1
         4 |         1 |         1
         5 |         1 |         1
         6 |         1 |         1
         7 |         1 |         1
         8 |         1 |         1
         9 |         1 |         1
        10 |         1 |         1
        11 |         1 |         1
        12 |         1 |         1
        13 |         1 |         1
        14 |         1 |         1
        15 |         1 |         1
        20 |         1 |         1
        25 |         1 |         1
        30 |         1 |         1
-----------+-----------+----------
     Total |        16 |        16

Calculations for Case 2...
Case q=0  Tables 1 and 3

 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |       759      1,332 |     2,091
         55-59 |       773      1,087 |     1,860
         60-64 |       469        381 |       850
         65-69 |        33         25 |        58
---------------+----------------------+----------
         Total |     2,034      2,825 |     4,859


 age groups in |
      5 yearly |           q
     intervals |         0          1 |     Total
---------------+----------------------+----------
         50-54 |     1,988        103 |     2,091
         55-59 |     1,796         64 |     1,860
         60-64 |       806         44 |       850
         65-69 |        55          3 |        58
---------------+----------------------+----------
         Total |     4,645        214 |     4,859


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         2
       .25 |         0          1          1          1          1          1          1          1          1          1          1          1          1          1          1          0 |        14
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
      .875 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |       problems
 threshold |      none       some |     Total
-----------+----------------------+----------
         3 |         1          0 |         1
         4 |         0          1 |         1
         5 |         0          1 |         1
         6 |         0          1 |         1
         7 |         0          1 |         1
         8 |         0          1 |         1
         9 |         0          1 |         1
        10 |         0          1 |         1
        11 |         0          1 |         1
        12 |         0          1 |         1
        13 |         0          1 |         1
        14 |         0          1 |         1
        15 |         0          1 |         1
        20 |         0          1 |         1
        25 |         0          1 |         1
        30 |         1          0 |         1
-----------+----------------------+----------
     Total |         2         14 |        16

Calculations for Case 3...
Case w=0  Tables 4 and 4a

----------+-------------------
age       |
groups in |
5 yearly  |        sex
intervals |     male    female
----------+-------------------
    50-54 |      759     1,332
          | .9657444   .975976
          |
    55-59 |      773     1,087
          | .9870634  .9816008
          |
    60-64 |      469       381
          |  .978678   .968504
          |
    65-69 |       33        25
          |  .969697         1
----------+-------------------

 age groups in |
      5 yearly |          sex
     intervals |      male     female |     Total
---------------+----------------------+----------
         50-54 |        26         32 |        58
         55-59 |        10         20 |        30
         60-64 |        10         12 |        22
         65-69 |         1          0 |         1
---------------+----------------------+----------
         Total |        47         64 |       111


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
      .125 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
      .875 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          0 |        15
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |         1 |         1
         4 |         1 |         1
         5 |         1 |         1
         6 |         1 |         1
         7 |         1 |         1
         8 |         1 |         1
         9 |         1 |         1
        10 |         1 |         1
        11 |         1 |         1
        12 |         1 |         1
        13 |         1 |         1
        14 |         1 |         1
        15 |         1 |         1
        20 |         1 |         1
        25 |         1 |         1
        30 |         1 |         1
-----------+-----------+----------
     Total |        16 |        16

Charity data
========================================
Calculations for Case 1...
Case 1: z=0  Tables 1, 2 and 2a

           |           y
         x |         0          1 |     Total
-----------+----------------------+----------
      2010 |        26         57 |        83
      2011 |        80         70 |       150
      2012 |        81         70 |       151
      2013 |        82         71 |       153
      2014 |        81         68 |       149
-----------+----------------------+----------
     Total |       350        336 |       686


           |           y
         x |         0          1 |     Total
-----------+----------------------+----------
      2010 |         1         40 |        41
      2011 |        51         51 |       102
      2012 |        52         51 |       103
      2013 |        52         51 |       103
      2014 |        52         51 |       103
-----------+----------------------+----------
     Total |       208        244 |       452


           |           y
         x |         0          1 |     Total
-----------+----------------------+----------
      2010 |        25         17 |        42
      2011 |        29         19 |        48
      2012 |        29         19 |        48
      2013 |        30         20 |        50
      2014 |        29         17 |        46
-----------+----------------------+----------
     Total |       142         92 |       234

Case 1 results:

           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok1_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .9 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          0 |        15
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok2_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .9 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |  problems
 threshold |      none |     Total
-----------+-----------+----------
         3 |         1 |         1
         4 |         1 |         1
         5 |         1 |         1
         6 |         1 |         1
         7 |         1 |         1
         8 |         1 |         1
         9 |         1 |         1
        10 |         1 |         1
        11 |         1 |         1
        12 |         1 |         1
        13 |         1 |         1
        14 |         1 |         1
        15 |         1 |         1
        20 |         1 |         1
        25 |         1 |         1
        30 |         1 |         1
-----------+-----------+----------
     Total |        16 |        16

Calculations for Case 2...
Case q=0  Tables 1 and 3

           |           y
         x |         0          1 |     Total
-----------+----------------------+----------
      2010 |        26         57 |        83
      2011 |        80         70 |       150
      2012 |        81         70 |       151
      2013 |        82         71 |       153
      2014 |        81         68 |       149
-----------+----------------------+----------
     Total |       350        336 |       686


           |           q
         x |         0          1 |     Total
-----------+----------------------+----------
      2010 |        76          7 |        83
      2011 |       142          8 |       150
      2012 |       145          6 |       151
      2013 |       144          9 |       153
      2014 |       137         12 |       149
-----------+----------------------+----------
     Total |       644         42 |       686


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
         0 |         1          1          1          1          0          0          0          0          0          0          0          0          0          0          0          0 |         4
        .2 |         0          0          0          0          1          0          0          0          0          0          0          0          0          0          0          0 |         1
        .4 |         0          0          0          0          0          1          0          0          0          0          0          0          0          0          0          0 |         1
        .6 |         0          0          0          0          0          0          1          0          0          0          0          0          0          0          0          0 |         1
        .8 |         0          0          0          0          0          0          0          1          1          1          0          0          0          0          0          1 |         4
         1 |         0          0          0          0          0          0          0          0          0          0          1          1          1          1          1          0 |         5
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok3_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .5 |         0          0          0          0          0          0          0          0          0          1          1          1          1          1          1          1 |         7
        .6 |         0          0          0          0          0          0          1          1          1          0          0          0          0          0          0          0 |         3
        .7 |         0          0          0          0          0          1          0          0          0          0          0          0          0          0          0          0 |         1
        .8 |         0          0          0          0          1          0          0          0          0          0          0          0          0          0          0          0 |         1
        .9 |         0          0          0          1          0          0          0          0          0          0          0          0          0          0          0          0 |         1
         1 |         1          1          1          0          0          0          0          0          0          0          0          0          0          0          0          0 |         3
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |             problems
 threshold |      none       some        all |     Total
-----------+---------------------------------+----------
         3 |         1          0          0 |         1
         4 |         1          0          0 |         1
         5 |         1          0          0 |         1
         6 |         1          0          0 |         1
         7 |         0          1          0 |         1
         8 |         0          1          0 |         1
         9 |         0          1          0 |         1
        10 |         0          1          0 |         1
        11 |         0          1          0 |         1
        12 |         0          1          0 |         1
        13 |         0          0          1 |         1
        14 |         0          0          1 |         1
        15 |         0          0          1 |         1
        20 |         0          0          1 |         1
        25 |         0          0          1 |         1
        30 |         0          1          0 |         1
-----------+---------------------------------+----------
     Total |         4          7          5 |        16

Calculations for Case 3...
Case w=0  Tables 4 and 4a

----------+-------------------
          |         y
        x |        0         1
----------+-------------------
     2010 |       26        57
          | .8076923  .9649123
          |
     2011 |       80        70
          |    .9625  .9714286
          |
     2012 |       81        70
          | .9753087  .9714286
          |
     2013 |       82        71
          | .9756098  .9577465
          |
     2014 |       81        68
          | .9876543  .9558824
----------+-------------------

           |           y
         x |         0          1 |     Total
-----------+----------------------+----------
      2010 |         5          2 |         7
      2011 |         3          2 |         5
      2012 |         2          2 |         4
      2013 |         2          3 |         5
      2014 |         1          3 |         4
-----------+----------------------+----------
     Total |        13         12 |        25


           |                                                                                    threshold
  bad_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .6 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |                                                                                    threshold
  ok4_prop |         3          4          5          6          7          8          9         10         11         12         13         14         15         20         25         30 |     Total
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
        .9 |         0          0          0          0          0          0          0          0          0          0          0          0          0          0          0          1 |         1
         1 |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          0 |        15
-----------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+----------
     Total |         1          1          1          1          1          1          1          1          1          1          1          1          1          1          1          1 |        16


           |  problems
 threshold |      some |     Total
-----------+-----------+----------
         3 |         1 |         1
         4 |         1 |         1
         5 |         1 |         1
         6 |         1 |         1
         7 |         1 |         1
         8 |         1 |         1
         9 |         1 |         1
        10 |         1 |         1
        11 |         1 |         1
        12 |         1 |         1
        13 |         1 |         1
        14 |         1 |         1
        15 |         1 |         1
        20 |         1 |         1
        25 |         1 |         1
        30 |         1 |         1
-----------+-----------+----------
     Total |        16 |        16