Two-thirds (or 66.6%) of 626 Colorado residents polled by Talmey-Drake Research & Strategy Inc. said they backed a bill pending in the legislature that would standardize laws on granting concealed-weapon permits to gun owners. The bill would force local law enforcement to grant such permits to anyone who can legally carry a gun. The margin of error in the poll was reported as 4 percentage points.
a. Is the reported margin of error consistent with the sample size for this estimate?
b. What sample size would be needed to give a margin of error of 2 percentage points?