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 900 men and 400 women are​ predetermined, test the claim...
















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
900

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




546


326






Women who disagree




354


74








Click here to view the chi-square distribution table.
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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 different for the subjects interviewed by men and the subjects interviewed by women.


H1​:

The proportions are the same.






C.



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.






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





appears

does not appear




that the gender of the interviewer affected the responses of women.



Jun 09, 2022
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