3. A Gallup poll surveys American beliefs about big business. The Gallup poll reports that 26% of Americans believe big business is the biggest threat to the nation. (Source: Gallup.com website article, In U.S., Fear of Big Government at Near-Record Level, December 12, 2011). Assume this value represents the population proportion today. Now, suppose we randomly sample Americans and ask them their beliefs about big business.   a. Suppose you surveyed 20 randomly selected U.S. adults. Is the sample size sufficient? Justify your answer with appropriate calculations.

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