The table below summarizes data from a survey of a sample of women. Using a 0.05 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   532 349

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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The table below summarizes data from a survey of a sample of women. Using a 0.05 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
 
532
349
 
 
Women who disagree
 
368
51
 
 

 

Identify the null and alternative hypotheses.

Compute the test statistic.

Find the critical​ value(s).

What is the conclusion based on the hypothesis​ test?

Reject or fail to reject?

Is there sufficient evidence?

Does it appear that the gender of the interviewer affected the responses of women?

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