39. An Employee Benefit Research Institute survey explored the reasons small business employers offer a retirement plan to their employees (USA Today, April 4, 2000). The reason “competitive advantage in recruitment/retention” was anticipated 33% of the time.

a. What sample size is recommended if a survey goal is to estimate the proportion of small business employers who offer a retirement plan primarily for “competitive advantage in recruitment/retention” with a margin of error of .03? Use 95% confidence.

b. Repeat part

(a) using 99% confidence.