The Gallup Poll asked a sample of 1785 U.S. adults, "Did you, yourself, happen to attend church or synagogue in the last 7 days?" Of the respondents, 750 said "Yes." Suppose that Gallup's sample was an SRS.
a. Give a 99% confidence interval for the proportion of all U.S. adults who attended church or synagogue during the week preceding the poll.
b. Do the results provide good evidence that less than half of the population attended church or synagogue?