Modifying the Exact Test for a Binomial Proportion and Comparisons with Other Approaches

摘要

In this note we provide a simple continuity and tail-corrected approach to the standard exact test for a single binomial proportion commonly used in practice. We redefine the p-valuefor the two-sided alternative by noting the skewed distribution of the sample proportion under the null hypothesis. We illustrate that for both one and two-sided alternatives the coverage probabilities of the new methodology approaches more closely the desired type I error a and thus recommend these modifications to the applied statistician for consideration.