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I am wondering what approaches are used in R to find the confidence interval for proportion? For example, in prop.test, it provides a confidence interval which is different from $\bar{p}-+z_{\alpha/2} \sqrt{\frac{\bar{p}(1-\bar{p})}{n}}$.

Katan Katalan
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  • I am voting to reopen the question as the answers linked by @whuber do not explain the Clopper-Pearson confidence intervals provided by the function `binom.test()` in the `stats` package, which - in contrast to the approaches mentioned there - belongs to the standard installation of R. – Michael M Feb 15 '22 at 18:17
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    @Michael It will be more constructive to find that answer here on CV and post a link to it. Questions specifically about how software works are usually not on topic here. – whuber Feb 15 '22 at 18:20
  • @whuber: good point. Here is a link to our favourite site explaining the standard R approach: https://stats.stackexchange.com/questions/87775/clopper-pearson-for-non-mathematicians – Michael M Feb 15 '22 at 18:24
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    @Michael Thank you! I'm sorry I missed that one. It is now added to the list of duplicates. – whuber Feb 15 '22 at 18:30

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