College officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. How many randomly selected students must be surveyed in order to be $92$% confident that the sample percentage has a margin of error of $1.5$ percentage points?

(a) $\ $ Assume that there is no available information that could be used as an estimate of $\hat{p}$.

Answer:

(b) $\ $ Assume that another study indicated that $6$% of college students carry weapons. Answer: