please help me find the test statistic and p-value

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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please help me find the test statistic and p-value!

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 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?
O.
Gender of Interviewer
Man
Woman
Women who agree
Women who disagree
522
236
278
64
Click here to view the chi-square distribution table.
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.
H,: The proportions are the same.
B. Ho: 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.
O C. Ho: The response of the subject and the gender of the subject are independent.
H,: The response of the subject and the gender of the subject are dependent.
Compute the test statistic.
Transcribed Image Text: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 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? O. Gender of Interviewer Man Woman Women who agree Women who disagree 522 236 278 64 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H,: The proportions are the same. B. Ho: 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. O C. Ho: The response of the subject and the gender of the subject are independent. H,: The response of the subject and the gender of the subject are dependent. Compute the test statistic.
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