Large Sample Inference on the Ratio of Two Independent Binomial Proportions

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