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 ofagreeldisagree 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 InterviewerWomanManWomen who agreeWomen who disagree58424258316Click here to view the chi-square distribution table.H: The proportions are the same.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.Compute the test statistic.(Round to three decimal places as needed)(1,)MoreEnter your answer in the answer box and then click Check Answer.2 partsremainingClear AllCheck Answer5:12

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Description: 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 ofagreeldisagree responses are th

Null and Alternative Hypotheses: Null hypothesis: H0: The response of the subject and gender of the subject are independent. Alternative hypothesis: H1: The response of the subject and gender of the subject are not independent. Correct option: Option C. Test statistic: From the given information, Man Woman Total Women who agree 584 242 826 Women who disagree 316 58 374 Total 900 300 1200 p value: The test statistic value is 26.1087 The degrees of freedom is (number of rows-1)(number of columns-1)=(2-1)(2-1)=1. p-value=0.000 by Excel function “=CHISQ.DIST.RT(26.1087,1)” Decision Rule: If p-value ≤ α, then reject the null hypothesis. If p-value > α, then do not reject the null hypothesis. Conclusion: From the given information, the level of significance is α=0.05 The p-value is 0.0000 Here, the p-value is less than the level of significance. That is, p(=0.000)<>α=0.05. From the rejection rule, reject the null hypothesis. It can be concluded that “The response of the subject and gender of the subject are not independent”.

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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 wornen are predetermined, test the claim that the proportie 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 584 Women who agree Women who disagree 242 316 58 Click here to view the chi-square distribution table H The proportions are the same. OC H 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 Compute the tost statistic (Round to three decimal places as needed) () More

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 wornen are predetermined, test the claim that the proportie 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 584 Women who agree Women who disagree 242 316 58 Click here to view the chi-square distribution table H The proportions are the same. OC H 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 Compute the tost statistic (Round to three decimal places as needed) () More

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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? Gender of Interviewer Man Woman Women who agree 534 264 Women who disagree 266 36 B. Compute the test statistic. ____ C. Find the critical value(s).___,_____ c2. What is the conclusion based on the hypothesis test? (Fail to reject/ Reject) H0. There (is/is not) 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…
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