School vouchers A national opinion poll found that 44% of all American adults agree that parents should be given vouchers that are good for education at any public or private school of their choice. The result was based on a small sample.

(a) How large an SRS is required to obtain a margin of error of 0.03 (that is, ±3%) in a 99% confidence interval?
Answer this question using the previous poll’s result as the guessed value for p^ .

(b) Answer the question in part

(a) again, but this time use the conservative guess p^ = 0.5. By how much do the two sample sizes differ?