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Intermediate Proof

CI for Proportions: Gauging Likelihoods

Students frequently conflate the standard error p^(1−p^)/n \sqrt{\hat{p}(1-\hat{p})/n} with the population standard deviation. Furthermore, they often mistakenly apply the Wald interval when np^<5 n\hat{p} < 5 or n(1−p^)<5 n(1-\hat{p}) < 5 , ignoring the violation of the normal approximation.
Institutional Reference: Statistical Inference I
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