When calculating the standard error of a proportion, if the sample size is small or the population proportion is close to 0 or 1, then the Wald method is preferable to the Agresti-Coull method.

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The Wald method can produce inaccurate confidence intervals, especially for small sample sizes or proportions close to 0 or 1. The Agresti-Coull method adjusts for these issues and is generally considered more reliable in such situations.

When Calculating the Standard Error of a Proportion, If the Sample