Question: A recent study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010).

A recent study by Allstate Insurance Co. finds that 82% of teenagers have used cell phones while driving (The Wall Street Journal, May 5, 2010). Suppose a random sample of 100 teen drivers is taken.

a. Discuss the sampling distribution of the sample proportion.

b. What is the probability that the sample proportion is less than 0.80?

c. What is the probability that the sample proportion is within 60.02 of the population proportion?

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