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 700 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   482 237     Women who disagree   218 63     Identify the null and alternative hypotheses.  Compute the test statistic. Find the critical​ value(s). What is the conclusion based on the hypothesis​ test?

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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 700 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
 
482
237
 
 
Women who disagree
 
218
63

 

 

Identify the null and alternative hypotheses. 

Compute the test statistic.

Find the critical​ value(s).

What is the conclusion based on the hypothesis​ test?
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