Question

market researchers conducted a study comparing the salaries of managers at a large nationwide retail store. the researchers obtained salary and demographic data for a random sample of managers. the researchers calculated the average salary of the men in the sample and the average salary of the women in the sample. they want to test if managers who are men have a higher average salary than managers who are women. assume that all conditions for inference have been met. which of these is the most appropriate test and alternative hypothesis?

Answer 1

The appropriate test for the study is Two-sample t-test; Ha: μ_men > μ_women. Option 3

How do we identify the appropriate test and alternative hypothesis?

The most appropriate test for this scenario is a two-sample t-test. This is because, two-sample t-test compares the means of two independent groups (men and women) and assumes that the populations from which the samples were drawn have equal variances.

The alternative hypothesis (H₁) should reflect the researchers' expectation that managers who are men have a higher average salary than managers who are women. Therefore, the appropriate alternative hypothesis would be:

Ha: μ_men > μ_women