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?   a. Compute the test statistic.   ​(Round to three decimal places as​ needed.)   b. Find the critical​ value(s).   ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

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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 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?

 

a. Compute the test statistic.
 
​(Round to three decimal places as​ needed.)
 
b. Find the critical​ value(s).
 
​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
Women who agree
Women who disagree
Gender of Interviewer
Man
Woman
499
344
301
56
Transcribed Image Text:Women who agree Women who disagree Gender of Interviewer Man Woman 499 344 301 56
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