The table below summarizes data from a survey of a sample of women. Using a 0.01 significance level, and assuming that the sample sizes of 800 men and 400 women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women?
The table below summarizes data from a survey of a sample of women. Using a
0.01
significance level, and assuming that the sample sizes of
800
men and
400
women are predetermined, test the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. Does it appear that the gender of the interviewer affected the responses of women?
|
|
|||||
|
Gender of Interviewer |
|||||
|
Man |
Woman |
||||
|
Women who agree |
529 |
314 |
|||
|
Women who disagree |
271 |
86 |
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Identify the null and alternative hypotheses. Choose the correct answer below.
A.
H0:
The response of the subject and the gender of the subject are independent.
H1:
The response of the subject and the gender of the subject are dependent.
B.
H0:
The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.
H1:
The proportions are different.
C.
H0:
The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.
H1:
The proportions are the same.
Compute the test statistic.
nothing
(Round to three decimal places as needed.)
Find the critical value(s).
nothing
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
▼
Reject
Fail to reject
H0.
There
▼
is
is not
sufficient evidence to warrant rejection of the claim that the proportions of agree/disagree responses are the same for subjects interviewed by men and the subjects interviewed by women. It
▼
does not appear
appears
that the gender of the interviewer affected the responses of women.
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