This is DATAPLOT file BINTAILP.TEX
 
Binomial Tail Probabilities
(# items = 2 ==> probability = .5)
 
Let X = number of successes in n Bernoulli trials
with p = probability of success = .5
Tabulate:  Prob(X >= k)
 
Source: Tables of the Cumulative Binomial
        Probability Distribution.
        Harvard University Press. 1955.
 
*  = 95% point
** = 99% point
 
Use--Block Plot Analysis
 
 
 
 
  Tail Probabilities
  Critical Values
  n     k    Prob (X >= k)
-------------------------
  1     1      1.00000
 
  2     1      0.75000
  2     2      0.25000
 
  3     2      0.50000
  3     3      0.12500
 
  4     3      0.31250
  4     4      0.06250
 
  5     4      0.18750
  5     5      0.03125  *
 
  6     5      0.10938
  6     6      0.01563  *
 
  7     6      0.06250
  7     7      0.00781  **
 
  8     6      0.14453
  8     7      0.03516  *
  8     8      0.00391
 
  9     7      0.08984
  9     8      0.01953  *
  9     9      0.00195  **
 
 10     8      0.05469
 10     9      0.01074  *
 10    10      0.00098  **
 
 11     9      0.11328
 11    10      0.03271  *
 11    11      0.00049  **
 
 12     9      0.07300
 12    10      0.01929  *
 12    11      0.00317  **
 12    12      0.00024
 
 13     9      0.13342
 13    10      0.04614  *
 13    11      0.01123
 13    12      0.00171  **
 13    13      0.00012
 
 14    10      0.08978
 14    11      0.02869  *
 14    12      0.00647  **
 14    13      0.00092
 14    14      0.00006
 
 15    11      0.05923
 15    12      0.01758  *
 15    13      0.00369  **
 15    14      0.00049
 15    15      0.00003
 
 16    11      0.10506
 16    12      0.03841  *
 16    13      0.01064
 16    14      0.00209  **
 16    15      0.00026
 16    16      0.00002
 
 17    12      0.07173
 17    13      0.02452  *
 17    14      0.00636  **
 17    15      0.00117
 17    16      0.00014
 17    17      0.00001
 
 18    12      0.11894
 18    13      0.04813  *
 18    14      0.01544
 18    15      0.00377  **
 18    16      0.00066
 18    17      0.00007
 18    18      0.00000
 
 19    13      0.08353
 19    14      0.03178  *
 19    15      0.00961  **
 19    16      0.00221
 19    17      0.00036
 19    18      0.00004
 19    19      0.00000
 
 21    14      0.09462
 21    15      0.03918  *
 21    16      0.01330
 21    17      0.00360  **
 
 22    15      0.06690
 22    16      0.02624  *
 22    17      0.00845  **
 
 23    15      0.10502
 23    16      0.04657  *
 23    17      0.01734
 23    18      0.00531  **
 
 24    16      0.07579
 24    17      0.03196  *
 24    18      0.01133
 24    19      0.00331  **
 
 25    17      0.05388
 25    18      0.02164  *
 25    19      0.00732  **
 
 26    17      0.08432
 26    18      0.03776  *
 26    19      0.01448
 26    20      0.00468  **
 
 27    18      0.06104
 27    19      0.02612  *
 27    20      0.00958  **
 
 28    18      0.09247
 28    19      0.04358  *
 28    20      0.01785
 28    21      0.00627  **
 
 29    19      0.06802
 29    20      0.03071  *
 29    21      0.01206
 29    22      0.00407  **
 
 30    19      0.10024
 30    20      0.04937  *
 30    21      0.02139
 30    22      0.00806  **
 
 31    20      0.07481
 31    21      0.03538  *
 31    22      0.01472
 31    23      0.00534  **
 
 32    21      0.05509
 32    22      0.02505  *
 32    23      0.01003
 32    24      0.00350  **
 
 35    22      0.08773
 35    23      0.04477  *
 35    24      0.02048
 35    25      0.00834  **
 
 40    25      0.07693
 40    26      0.04035  *
 40    27      0.01924
 40    28      0.00829  **
 
 50    31      0.05946
 50    32      0.03245  *
 50    33      0.01642
 50    34      0.00767  **
 
 64    39      0.05171
 64    40      0.02997  *
 64    41      0.01638
 64    42      0.00843  **
 
 80    47      0.07282
 80    48      0.04646  *
 80    49      0.02833
 80    50      0.01650
 80    51      0.00916  **
 
 100   58      0.06661
 100   59      0.04431  *
 100   60      0.02844
 100   61      0.01760
 100   62      0.01049
 100   63      0.00602  **
 
 200  112      0.05182
 200  113      0.03842  *
 200  114      0.02798
 200  115      0.02002
 200  116      0.01406
 200  117      0.00970  **
 
 500  268      0.05872
 500  269      0.04895  *
 500  270      0.04052
 500  271      0.03330
 500  272      0.02718
 500  273      0.02203
 500  274      0.01773
 500  275      0.01416
 500  276      0.01123
 500  277      0.00884  **
 
1000  527      0.04684  *
1000  538      0.00883  **
