A largesample hypothesis test concerning a population proportion is based on a normal approximation and the nonskewness criterion. If n is small (and the nonskewness criterion fails), the test...

A largesample hypothesis test concerning a population proportion is based on a normal approximation and the nonskewness criterion. If n is small (and the nonskewness criterion fails), the test statistic in an exact hypothesis test concerning p and is based on the number of successes in the sample, X. If H0: p = p0 is true, then X has a binomial distribution with n trials and probability of success p0.