Television viewers often express doubts about the validity of certain commercials. In an attempt to answer their critics, a large advertiser wants to estimate the true proportion of consumers who believe what is shown in commercials. Preliminary studies indicate that about 40% of those surveyed believe what is shown in commercials. What is the minimum number of consumers that should be sampled by the advertiser to be 90% confident that their estimate will fall within 1% of the true population proportion?

a)6514

b)6474

c)6495

d)6482

e)6506

f)None of the above