Chapter 4.5, Problem 16E

In Exercises $9-22$, round off your answers (sample proportions and margins of error) to three decimal places (a tenth of a percent).

A survey asked, "Do you like the way you look in the nude?" Of the 1, 220 American men surveyed, 830 said yes, and 390 said no. In contrast, 328 of the 1, 490 American women surveyed said yes, and 1, 162 said no.*

a. Determine the sample proportion of American men who like the way they look in the nude.

b. Determine the sample proportion of American women who like the way they look in the nude.

c. With a $95\%$ level of confidence, find the margin of error associated with the sample proportions.