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 women $ $ (b) Use α = 0.05 and conduct the hypothesis test for identical population distributions. State the null and alternative hypotheses. H: Median salary for men - Median salary for women ≤ 0 H: Median salary for men - Median salary for women > 0 H: The two populations of salaries are identical. H: The two populations of salaries are not identical. Ho The two populations of salaries are not identical. H: The two populations of salaries are identical. О но H₂ Median salary for men - Median salary for women ≥0 Median salary for men - Median salary for women < 0 Ho: Median salary for men - Median salary for women > 0 H: Median salary for men - Median salary for women = 0 Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not reject Ho. There is 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. 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. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women.
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 women $ $ (b) Use α = 0.05 and conduct the hypothesis test for identical population distributions. State the null and alternative hypotheses. H: Median salary for men - Median salary for women ≤ 0 H: Median salary for men - Median salary for women > 0 H: The two populations of salaries are identical. H: The two populations of salaries are not identical. Ho The two populations of salaries are not identical. H: The two populations of salaries are identical. О но H₂ Median salary for men - Median salary for women ≥0 Median salary for men - Median salary for women < 0 Ho: Median salary for men - Median salary for women > 0 H: Median salary for men - Median salary for women = 0 Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? Do not reject Ho. There is 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. 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. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual salaries of men and women.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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
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
women
$
$
(b) Use α = 0.05 and conduct the hypothesis test for identical population distributions.
State the null and alternative hypotheses.
H: Median salary for men - Median salary for women ≤ 0
H: Median salary for men - Median salary for women > 0
H: The two populations of salaries are identical.
H: The two populations of salaries are not identical.
Ho
The two populations of salaries are not identical.
H: The two populations of salaries are identical.
О но
H₂
Median salary for men - Median salary for women ≥0
Median salary for men - Median salary for women < 0
Ho: Median salary for men - Median salary for women > 0
H: Median salary for men - Median salary for women = 0
Find the value of the test statistic.
W =
Find the p-value. (Round your answer to four decimal places.)
p-value =
What is your conclusion?
Do not reject Ho. There is 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.
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.
Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the annual
salaries of men and women.
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