Gender of Interviewer Man Woman Women who agree 481 245 Women who disagree 319 55 The table below summarizes data from a survey of a sample of women. Using a 0.01 significance​ level, and assuming...


































Gender of Interviewer










Man


Woman






Women who agree




481


245






Women who disagree




319


55



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 300 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?


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.


Find the critical​ value(s).


What is the conclusion based on the hypothesis​ test?






Fail to reject/ 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/ d
oes not appear

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




Jun 08, 2022
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