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 900 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?
Man Woman
Women who agree 551
248
Women who disagree 349 52
Compute the test statistic.