Binomial proportion confidence interval

Summary

A binomial proportion confidence interval is a confidence interval for the success probability $p$ of a binomial distribution. It is computed from the number of successes in $n$ trials. Because the data are discrete, no interval has coverage exactly $1 - \alpha$ for every $p$. So there are several standard intervals, such as the Wald, Wilson and Clopper–Pearson intervals, with different trade-offs between coverage and length.