A First Course in Probability (10th Edition)
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ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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 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?
- Compute the test statistic. (Round to 3 decimal places)
- Find the critical value(s). (Round to 3 decimal places. Use a comma to separate answers as needed.)
- What is the conclusion based on the hypothesis test?
▼ (Fail to reject/Reject) H0.There ▼ (is not/ is) 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 ▼ (does not appear/appears) 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 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
Woman
Man
Women who agree
Women who disagree
524
239
276
61
Click here to view the chi-square distribution table.
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?
Ho. 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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