We first show that any 1−α bootstrap percentile confidence interval for a proportion based on a binomial random variable has an infimum coverage probability zero for any sample size. This result is then extended to intervals for the difference, the relative risk and the odds ratio of two...

This paper concerns interval estimation for the difference of two dependent proportions. An order on the sample space is constructed using an inductive method; then the smallest one-sided 1−α confidence interval under the order is derived. This interval is admissible under the set inclusion...