A national opinion poll found that 44% of all American adults agree that parents should be given vouchers good for education at any public or private school of their choice. The result was based on a small sample. How large an SRS is required to obtain a margin of error of 0.03 (that is +/- 3%) in a 95% confidence interval?

A. Answer this question using the previous poll's result as the guessed value of

B. Do the problem again using the conservative guess of 0.5. By how much do the two sample sizes differ?