Tests for the parameter of a Binomial distribution

Tests for the parameter of a binomial distribution and their properties and assumptions.

Test Purpose
Binomial exact Test if the proportion with the outcome of interest is equal to a hypothesized value.

Uses the binomial distribution and computes an exact p-value. The test is conservative, that is, the type I error is guaranteed to be less than or equal to the desired significance level. Recommended for small sample sizes.

Score Z Test if the proportion with the outcome of interest is equal to a hypothesized value.

Uses the score statistic and computes an asymptotic p-value. Equivalent to Pearson's X² test. Recommended for general use.