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 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 i appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree Women who disagree 556 263 244 37 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The response of the subject and the gender of the subject are independent. H4: The response of the subject and the gender of the subject are dependent. O B. Ho: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H4: The proportions are different. O C. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H4: The proportions are the same. Compute the test statistic.

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 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 i appear that the gender of the interviewer affected the responses of women? Gender of Interviewer Man Woman Women who agree Women who disagree 556 263 244 37 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: The response of the subject and the gender of the subject are independent. H4: The response of the subject and the gender of the subject are dependent. O B. Ho: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H4: The proportions are different. O C. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H4: The proportions are the same. Compute the test statistic.

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

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 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
Women who disagree
556
263
244
37
Click here to view the chi-square distribution table.
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. 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.
B. Ho: The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.
H;:
: The proportions are different.
C. Ho: The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.
H4: The proportions are the same.
Compute the test statistic.
(Round to three decimal places as needed.)
Find the critical value(s).

Find the critical value(s).
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
What is the conclusion based on the hypothesis test?
Ho. There
sufficient evidence to warrant rejection of the claim that the proportions of agree/disagree responses are the same for subjects interviewed by
men and the subjects interviewed by women. It
that the gender of the interviewer affected the responses of women.

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