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 700 men and 300 women are predetermined, test the claim that the proportions of agreeldisagree 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 433 267 Worman 255 45 Women who agree Women who disagree Click here to view the chi-square distribution table Identify the null and alternative hypotheses. Choose the correct answer below. O A. Họ: The proportions of agreeldisagree responses are the same for the subjects interviewed by men and the subjects interviewed by women. H: The proportions are different. OB. Hg: 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 OC. Ho: The proportions of agreeldisagree responses are different for the subjects interviewed by men and the subjects interviewed by women. H: The proportions are the same. Compute the test statistic (Round to three decimal places as needed.) 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? V Họ. There sufficient evidence to warrant rejection of the claim that the proportions of agreeldisagree 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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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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 700 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
Woman
255
Man
Women who agree
Women who disagree
433
267
45
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 the same for the subjects interviewed by men and the subjects interviewed by women.
H1: The proportions are different.
O B. 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.
O C. 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.
Compute the test statistic.
(Round to three decimal places as needed.)
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?
V Họ. There
V 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
V that the gender of the interviewer affected the responses of women.
Transcribed Image Text: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 700 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 Woman 255 Man Women who agree Women who disagree 433 267 45 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 the same for the subjects interviewed by men and the subjects interviewed by women. H1: The proportions are different. O B. 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. O C. 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. Compute the test statistic. (Round to three decimal places as needed.) 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? V Họ. There V 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 V that the gender of the interviewer affected the responses of women.
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