The gap between the earnings of men and women with equal education is narrowing but has not closed. Sample data for seven men and seven women with bachelor's degrees are as follows. Data are shown in thousands of dollars. Men Women 39.6 44.5 81.5 41.4 51.2 37.9 66.2 49.5 45.2 31.8 50.9 57.5 61.3 24.8 (a) What is the median salary (in $) for men? For women? men women (b) Use a = 0.05 and conduct the hypothesis test for identical population distributions. State the null and alternative hypotheses. O Ho: Median salary for men - Median salary for women so H: Median salary for men - Median salary for women > 0 O Ho: Median salary for men - Median salary for women 20 H: Median salary for men - Median salary for women < O O Ho: Median salary for men - Median salary for women >0 H: Median salary for men - Median salary for women = o O Ho: The two populations of salaries are not identical. H: The two populations of salaries are identical. O Ho: The two populations of salaries are identical. H: The two populations of salaries are not identical. Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value =

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