Large Sample Inference on the Ratio of Two Independent Binomial Proportions

The asymptotic distribution for the ratio of sample proportions in two independent bernoulli populations is introduced. the presented method can be used to derive the asymptotic con¯dence interval and hypothesis testing for the ratio of population proportions. the performance of the new interval is comparable with similar confidence intervals in the large sample cases. then the simulation study is provided to compare our con¯dence interval with some other methods. the proposed confidence set has a good coverage probability with a shorter length.