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 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 Man Woman 442 251 258 49 Women who agree Women who disagree Click here to view the chi-square distribution table. H₁ The response of the subject and the gender of the subject are dependent. I c. 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. Compute the test statistic.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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need test statistics 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 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?
P
Gender of Interviewer
Man
Woman
Women who agree
442
251
Women who disagree
258
49
Click here to view the chi-square distribution table.
H₁ The response of the subject and the gender of the subject are dependent.
c. 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.
Compute the test statistic.
(Round to three decimal places as needed.)
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 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? P Gender of Interviewer Man Woman Women who agree 442 251 Women who disagree 258 49 Click here to view the chi-square distribution table. H₁ The response of the subject and the gender of the subject are dependent. c. 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. Compute the test statistic. (Round to three decimal places as needed.)
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