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 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 Woman 247 53 Man Women who agree Women who disagree 308 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. 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. B. Hg: 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. OC. Hg: 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. 2१ 320

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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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 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
592
247
308
53
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.
H1: 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.
H1: 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.
H1: The proportions are the same.
Compute the test statistic.
29.320
(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.)
Transcribed Image Text:11.2.7 Question Help 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 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 592 247 308 53 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. H1: 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. H1: 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. H1: The proportions are the same. Compute the test statistic. 29.320 (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.)
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