The gap between the earnings of men and women with equal education is narrowing but has not closed. Sample data for seve
Posted: Wed May 11, 2022 9:58 am
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.
(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.
H0: Median salary for men − Median
salary for women ≥ 0
Ha: Median salary for men − Median
salary for women < 0H0: The two populations
of salaries are not identical.
Ha: The two populations of salaries are
identical. H0: Median
salary for men − Median salary for women > 0
Ha: Median salary for men − Median
salary for women = 0H0: The two populations of
salaries are identical.
Ha: The two populations of salaries are not
identical.H0: Median salary for
men − Median salary for women ≤ 0
Ha: 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 H0. There is sufficient
evidence to conclude that there is a significant difference between
the annual salaries of men and
women.Reject H0. There is sufficient
evidence to conclude that there is a significant difference between
the annual salaries of men and
women. Reject H0.
There is not sufficient evidence to conclude that there is a
significant difference between the annual salaries of men and
women.Do not reject H0. There is not
sufficient evidence to conclude that there is a significant
difference between the annual salaries of men and women.
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.
(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.
H0: Median salary for men − Median
salary for women ≥ 0
Ha: Median salary for men − Median
salary for women < 0H0: The two populations
of salaries are not identical.
Ha: The two populations of salaries are
identical. H0: Median
salary for men − Median salary for women > 0
Ha: Median salary for men − Median
salary for women = 0H0: The two populations of
salaries are identical.
Ha: The two populations of salaries are not
identical.H0: Median salary for
men − Median salary for women ≤ 0
Ha: 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 H0. There is sufficient
evidence to conclude that there is a significant difference between
the annual salaries of men and
women.Reject H0. There is sufficient
evidence to conclude that there is a significant difference between
the annual salaries of men and
women. Reject H0.
There is not sufficient evidence to conclude that there is a
significant difference between the annual salaries of men and
women.Do not reject H0. There is not
sufficient evidence to conclude that there is a significant
difference between the annual salaries of men and women.