he 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 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?                 Gender of Interviewer         Man Woman     Women who agree   535 344     Women who disagree   265 56       Click here to view the chi-square distribution table. LOADING... Identify the null and alternative hypotheses. Choose the correct answer below.   A. 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.   B. 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.   C. 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.   Compute the test statistic.   nothing ​(Round to three decimal places as​ needed.

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
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?
 
 
 
 
 
 
 
 
Gender of Interviewer
 
 
 
 
Man
Woman
 
 
Women who agree
 
535
344
 
 
Women who disagree
 
265
56
 
 
 
Click here to view the chi-square distribution table.
LOADING...
Identify the null and alternative hypotheses. Choose the correct answer below.
 
A.
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.
 
B.
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.
 
C.
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.
 
Compute the test statistic.
 
nothing
​(Round to three decimal places as​ needed.)
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