1. In Exercise 12 in Chapter 20, we learned that in a survey of 507 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 a majority of American Catholics favors allowing women to be priests.

b. Using Example 3 in this chapter as a guide, compute the test statistic for this situation.

c. If you have done everything correctly, the p-value for the test is about 0.00005. Based on this, make a conclusion for this situation. Write it in both statistical language and in words that someone with no training in statistics would understand.