Don’t Americans know that eating pizza and french fries leads to being overweight? In the same American Demographics article referenced in Exercise 8.98, a survey of women who are the main meal preparers in their households reported these results:

• 90% know that obesity causes health problems.

• 80% know that high fat intake may lead to health problems.

• 86% know that cholesterol is a health problem.

• 88% know that sodium may have negative effects on health.

a. Suppose that this survey was based on a random sample of 750 women. How accurate do you expect the percentages given above to be in estimating the actual population percentages?

b. If you want to decrease your sampling error to ± 1%, how large a sample should you take?