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?

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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?
 
 
 
 
 
 
 
 
Gender of Interviewer
 
 
 
 
Man
Woman
 
 
Women who agree
 
534
264
 
 
Women who disagree
 
266
36
 
 

B. Compute the test statistic. ____

 

C. Find the critical​ value(s).___,_____

 

c2. 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/does not appear) that the gender of the interviewer affected the responses of women.

 

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