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 **