In: Statistics and Probability
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 900men 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?
| Man | Woman | |
| Women who agree | 617 | 235 |
| Women who disagree | 283 | 65 |
Identify the null and alternative hypotheses. Choose the correct answer below.
A.Upper H 0:The proportions of agree/disagree responses are different for the subjects interviewed by men and the subjects interviewed by women.
Upper H 1:The proportions are the same.
B.Upper H 0:The proportions of agree/disagree responses are the same for the subjects interviewed by men and the subjects interviewed by women.
Upper H 1: The proportions are different.
C.Upper H 0: The response of the subject and the gender of the subject are independent.
Upper H 1:The response of the subject and the gender of the subject are dependent.
Compute the test statistic.________