Binomial 2×2 test for independent samples with independent proportions
For two independent samples with independent proportions, the significance level of the difference between them can be obtainedfrom joint binomial probabilities, assuming the population propor-tion is well estimated by the samples' pooled proportion. An efficient computer program can be written for this binomial test. The x2 test, using a continuity correction of .25 for equal sample sizes and .1 for unequal sample sizes, is in close agreement with the binomial test.