Question: 48 Time magazine reported that in a 1994 survey of 507 randomly selected adult American Catholics, 59%answered yes to the question “Do you favor allowing women to be priests?”

a. Set up the null and alternative hypotheses for deciding whether more than half of American Catholics favor allowing women to be priests.

b. What conditions are necessary for using a z-statistic to test the hypotheses in part (a)? Are those conditions met here? Explain.

c. Compute the test statistic for this situation.

d. Calculate the p-value for the test.

e. On the basis of the p-value, make a conclusion for this situation. Write it in both statistical language and in words that someone with no training in statistics would understand.

f. Calculate a 95% confidence interval for the proportion of American Catholics who favor allowing women to be priests. Does this confidence interval confirm the conclusion that a majority of American Catholics favor allowing women priests? Explain.