Comparing two independent binomial proportions by a modified chi square test

When using the chi square test to compare the proportions of successes in two independent binomial samples, a new continuity correction is proposed, which equals half the size of the smaller sample. Exact computations of unconditional tail‐probabilities, together with a theoretical argument, show that this correction is more appropriate than the YATES correction. This version of the chi square test is still conservative, but less so, and as a consequence more powerful, than the YATES corrected test.