Statistics: How Many Would You Check?

I&#x27;ve always used a Clopper-Pearson interval for binomial confidence intervals, but never questioned why (it&#x27;s the default in ROOT). I found <a href="http:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Binomial_proportion_confidence_interval" rel="nofollow">http:&#x2F;&#x2F;en.wikipedia.org&#x2F;wiki&#x2F;Binomial_proportion_confidence_...</a> quite useful. Sounds like using Clopper-Pearson is safer than using a Wilson interval .

To be a pedant and assuming your confidence interval is at the 95% confidence level. Taking 73 checks will produce the 95% lower bound 95% of the time if you take any random 73 samples.