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Inferential Statisticshard
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Consider a Wald-type confidence interval for a proportion ppp given by p^±zα/2p^(1−p^)n\hat{p} \pm z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}p^​±zα/2​np^​(1−p^​)​​. In a clinical trial with n=20n=20n=20 and 0 observed successes, what is the primary statistical issue with this interval?