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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
Question
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 7 images

Blurred answer
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax