Question

Market researchers interviewed a random sample of 60 men and a random sample of 55 women about their preferences for different color designs for the packaging of a certain product. Of those interviewed, 23 men and 28 women preferred color design X. What is the correct test statistic for a two-sample z-test for a difference in population proportions for men and women (men minus women) in their preference for color design X ?

Answer 1

To test the difference in population proportions for men and women's preference for color design X, we can use a two-sample z-test.

Step-by-step explanation:

To test the difference in population proportions for men and women's preference for color design X, we can use a two-sample z-test. The test statistic for this test is calculated using the formula:

z = (p1 - p2) / sqrt((p_hat(1-p_hat)/n1) + (p_hat(1-p_hat)/n2))

where p1, p2 are the sample proportions, p_hat is the pooled proportion, n1 and n2 are the sample sizes. We calculate the values and substitute them into the formula to find the test statistic.

Answer 2

.38-.51/root(.44)(.56)(1/65+55)

Step-by-step explanation:

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