The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first determine the percentage of adults who have heard of the brand. How many adults must he survey in order to be 95% confident that his estimate is within seven percentage points of the true populationpercentage? Complete parts(A) through(C) below.

A) Assume that nothing is known about the percentage of adults who have heard of the brand. (Round up to the nearestinteger.)

n=

B) Assume that a recent survey suggests that about 82% of adults have heard of the brand. (Round up to the nearestinteger.)

n=

C) Given that the required sample size is relativelysmall, could he simply survey the adults at the nearestcollege?

a.

No, a sample of students at the nearest college is a conveniencesample, not a simple randomsample, so it is very possible that the results would not be representative of the population of adults.

b.

No, a sample of students at the nearest college is a stratifiedsample, not a simple randomsample, so it is very possible that the results would not be representative of the population of adults.

c.

Yes, a sample of students at the nearest college is a simple randomsample, so the results should be representative of the population of adults.

d.

No, a sample of students at the nearest college is a clustersample, not a simple randomsample, so it is very possible that the results would not be representative of the population of adults.