The gap between the earnings of men and women with equal education is narrowing but has not closed. Sample data for seven self-identifying men and self- identifying seven women with bachelor's degrees are as follows. Data are shown in thousands of dollars. Men Women 33.6 40.5 88.5 48.4 58.2 37.9 66.2 43.5 45.2 38.8 59.9 57.5 68.3 20.8 (a) What is the median salary (in $) for men? For women? men $ 59.9 women $ 40.5 (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 Ho: The two populations of salaries are identical. H. The two populations of salaries are not identical. Type here to search L ☑ % 5 6 7 8 200m 72°F 1:09 PM 5/9/2024 re hot identical. H: The two populations of salaries are identical. Ho: Median salary for men Ha: Median salary for men O Ho: Median salary for men H: Median salary for men - - Median salary for women ≥ 0 Median salary for women < 0 Median salary for women > 0 Median salary for women = 0 Find the value of the test statistic. W = 8 Find the p-value. (Round your answer to four decimal places.) p-value 0.0175 = What is your conclusion? × O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the annual salar Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the annual salaries of m O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual s women. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual salaries Viewing Saved Work Revert to Last Response Type here to search רו LW zoom NEW

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