If we wish to determine whether there is evidence that the proportion of items of interest is higher in group 1 than in group 2, the appropriate test to use is
A) the pooled-variance t test for the difference between two proportions.
B) the F test for the difference between two proportions.
C) the Z test for the difference between two proportions.
D) the F test for the difference between two variances.

Question

Quizplus · Accepted Answer

The appropriate test to use in this scenario is the Z test for the difference between two proportions. This test is used when we want to compare the proportions of two different groups, and it assumes that the sample size is sufficiently large for the Central Limit Theorem to apply. The pooled-variance t test for the difference between two proportions may be used if the sample sizes are small and if the variances are known to be equal. The F test for the difference between two proportions is not a valid test in this scenario. The F test for the difference between two variances is used to determine whether the variances of two populations are equal.

If We Wish to Determine Whether There Is Evidence That