For testing the difference between two population proportions,the pooled proportion estimate should be used to compute the value of the test statistic when the:
A)populations are normally distributed.
B)sample sizes are small.
C)null hypothesis states that the two population proportions are equal.
D)samples are independently drawn from the populations.

Question

Quizplus · Accepted Answer

The pooled proportion estimate should be used to compute the value of the test statistic when the null hypothesis states that the two population proportions are equal. The pooled proportion estimate assumes that the true proportions in both populations are equal and estimates this common proportion using data from both populations. This helps to increase the precision of the estimate and improve the accuracy of the test statistic, leading to more reliable results. When the null hypothesis is not that the proportions are equal, such as in a one-sided test or when sample sizes are very small, other methods may be more appropriate.

For Testing the Difference Between Two Population Proportions,the Pooled Proportion