When testing for the difference between two population proportions we use a pooled estimate of the proportion.

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In hypothesis testing for the difference between two population proportions, a pooled estimate of the proportion is often used when the null hypothesis assumes that the two population proportions are equal. This pooled estimate combines the sample successes from both groups over the total sample size to get a common proportion, which is then used to estimate the standard error of the difference between sample proportions.

When Testing for the Difference Between Two Population Proportions We