A poll is taken in which $320$ out of $550$ randomly selected voters indicated their preference for a certain candidate.

(a) Find a $99$% confidence interval for $p$.

$\leq p \leq$

(b) Find the margin of error for this $99$% confidence interval for $p$.



(c) Without doing any calculations, indicate whether the margin of error is larger or smaller or the same for an 80% confidence interval.
A. larger
B. smaller
C. same