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".
Assume 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] State the null & alternative hypotheses in words.
[B] Calculate the value of the test statistic with the information given above.