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 Men women 32.6 84.5 54.2 67.2 46.2 58.9 64.3 Women 40.5 44.4 31.9 42.5 34.8 51.5 (a) What is the median salary (in $) for men? For women? $ 54.2 $ 40.5 20.8 x X (b) Use a = 0.05 and conduct the hypothesis test for identical population distributions.

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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
Men
women
32.6
84.5
54.2
67.2
46.2
58.9
64.3
Women
40.5
44.4
31.9
42.5
34.8
51.5
(a) What is the median salary (in $) for men? For women?
$ 54.2
$40.5
20.8
X
X
(b) Use α = 0.05 and conduct the hypothesis test for identical population distributions.
Transcribed Image Text: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 Men women 32.6 84.5 54.2 67.2 46.2 58.9 64.3 Women 40.5 44.4 31.9 42.5 34.8 51.5 (a) What is the median salary (in $) for men? For women? $ 54.2 $40.5 20.8 X X (b) Use α = 0.05 and conduct the hypothesis test for identical population distributions.
(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 > 0
Ha: Median salary for men - Median salary for women < 0
O Ho: Median salary for men - Median salary for women > 0
H₂: Median salary for men - Median salary for women = 0
O Ho: Median salary for men - Median salary for women ≤ 0
H₂: Median salary for men - Median salary for women > 0
Ho: The two populations of salaries are identical.
H₂: The two populations of salaries are not identical.
O Ho: The two populations of salaries are not identical.
H₂: The two populations of salaries are identical.
Find the value of the test statistic.
W =
Find the p-value. (Round your answer to four decimal places.)
p-value = 0.0852
X
What is your conclusion?
O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women.
O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual salaries of men and
women.
O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women.
Ⓒ Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women.
Transcribed Image Text:(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 > 0 Ha: Median salary for men - Median salary for women < 0 O Ho: Median salary for men - Median salary for women > 0 H₂: Median salary for men - Median salary for women = 0 O Ho: Median salary for men - Median salary for women ≤ 0 H₂: Median salary for men - Median salary for women > 0 Ho: The two populations of salaries are identical. H₂: The two populations of salaries are not identical. O Ho: The two populations of salaries are not identical. H₂: The two populations of salaries are identical. Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = 0.0852 X What is your conclusion? O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women. O Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women. Ⓒ Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women.
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