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 Interviewer Man Woman Women who agree Women who disagree 249 51 589 311 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. O B. Ho: 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. 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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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
Woman
Man
Women who agree
Women who disagree
589
249
311
51
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.
O B. Hn: 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.
OC. 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.
Click to select your answer and then click Check Answer.
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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 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 Woman Man Women who agree Women who disagree 589 249 311 51 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. O B. Hn: 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. OC. 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. Click to select your answer and then click Check Answer. Final Check parts remaining Clear All MacBook Air 4) F1 F7 FB F9 FA esc F3 F4 F2 2$ % & %3D delete 7 8 9. 2 P Y Q W E tab K レ .. .- # 3
レー
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
separate answers as needed.)
What is the conclusion based on the hypothesis test?
V Ho. There
V 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
that the gender of the interviewer affected the responses of women.
women. It
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Transcribed Image Text:レー 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 separate answers as needed.) What is the conclusion based on the hypothesis test? V Ho. There V 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 that the gender of the interviewer affected the responses of women. women. It Click to select your answer(s) and then click Check Answer. All parts showing Clear All Finsl Check MacBook Air 20 888 トII 。 esc F1 F2 F3 F4 FS F6 E7 F9 ! @ # 2$ % & 3 4 6. 7 8 9 delete Q W T Y U tab enter H K A S F retut caps lock > ? く M C V shift alt alt option command option command fn control
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