comparative evaluation of different confidence intervals for the binomial proportion based on maximum coverage probabilities

Since the binomial distribution is discrete‎, ‎finding accurate confidence intervals for its parameters is not easily achievable‎. ‎many approximate confidence intervals have been suggested for the binomial distribution's ratio parameter thus far‎. ‎as we know‎, ‎these confidence intervals have not been compared based on the maximum coverage probabilities‎. ‎this article aims to evaluate six widely used confidence intervals for the binomial distribution's ratio parameter‎, ‎focusing on their accurate maximum coverage probabilities criterion.