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...

1. 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. How large of a sample is required to obtain a margin of error of 0.03 in a 99% confidence interval?

a. Use the national opinion poll from a previous study to find the sample size:

b. Use the conservative guess of p = 0.5 to calculate the sample size: