Discussion
For testing equality of two population proportions we use ................. test.
Answer: D
Equality of two population proportions is tested with the z test.
For large samples the difference between two sample proportions is approximately normally distributed, so the test statistic is
\[ \begin{aligned} z &= \frac{p_{1} - p_{2}}{\sqrt{PQ \, S}}, \\ S &= \frac{1}{n_{1}} + \frac{1}{n_{2}} \end{aligned} \]
where \(P\) is the pooled proportion. The F test compares variances, the t test compares means in small samples, and the chi-square test is used for goodness of fit and independence, though it can also compare proportions in a contingency table.
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