Test the claim that the proportions of agree or disagree

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Reference no: EM1320125

Question: Does a pollster's gender have an effect on poll responses by men? A US News & World Report article about polls staled, "On sensitive issues, people tend to give 'acceptable' rather than honest responses; their answers may depend on the gender or race of" the interviewer."

To support that claim, data were provided for an Eagleton Institute poll in which surveyed men were asked if they agreed with this statement: "Abortion is a private matter that should be left to the woman to decide without government intervention."

Suppose that the survey was designed so that male interviewers were instructed to obtain 800 responses from male subjects, & female interviewers were instructed to obtain 400 responses from male subjects. The responses are recorded in the contingency table below.

 

Gender of Interviewer

 

Man

Woman

Men who agree

560

308

Men who disagree

240

92

Using a 0.025 significance level, test the claim that the proportions of agree/disagree responses are same for the subjects interviewed by men & the subjects interviewed by women.

[A] Is there sufficient evidence to reject the null hypothesis?

[B] According to your conclusion in step d, do the data provide significant evidence to conclude that response & gender of the interviewer are dependent? In other words, docs it appear that men are influenced by the gender of the interviewer?

Reference no: EM1320125

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