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 Women who agree 487 235 Women who disagree 213 65 Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: 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. B. H0: 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. C. H0: 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. Determine the test statistic. χ2= Determine the P-value of the test statistic. P-value= Do the results suggest that polygraphs are effective in distinguishing between truth and lies? A. There is not sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate. B. There is not sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication. C. There is sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate. D. There is sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.

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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 700 men and 300 women are predetermined, test the claim that the proportions of agree/disagree responses are

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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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 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
Women who agree		487	235
Women who disagree		213	65

Identify the null and alternative hypotheses. Choose the correct answer below.

H0:

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.

H0:

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.

H0:

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.

Determine the test statistic.

χ2=

Determine the P-value of the test statistic.

P-value=

Do the results suggest that polygraphs are effective in distinguishing between truth and lies?

There is not

sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate.

There is not

sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.

There is

sufficient evidence to warrant rejection of the claim that polygraph testing is 95% accurate.

There is

sufficient evidence to warrant rejection of the claim that whether a subject lies is independent of the polygraph test indication.

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