Question: Refer to Exercise. What is the most conservative estimate of the sample size that would limit the margin of error to within .03 of the population proportion for a 99% confidence interval?
Exercise: A consumer agency wants to estimate the proportion of all drivers who wear seat belts while driving. Assume that a preliminary study has shown that 76% of drivers wear seat belts while driving. How large should the sample size be so that the 99% confidence interval for the population proportion has a margin of error of .03?