Question: In the July 29,2001 , issue of The Journal News (Hamilton, Ohio) Lynn Elber of the Associated Press reported on a study conducted by the Kaiser Family Foundation regarding parents' use of television set V-chips for controlling their children's TV viewing. The study asked parents who own TVs equipped with \(V\) -chips whether they use the devices to block programs with objectionable content.

a .Suppose that we wish to use the study results to justify the claim that fewer than 20 percent of parents who own TV sets with V-chips use the devices. The study actually found that 17 percent of the parents polled used their V-chips. If the poll surveyed 1,000 parents, and if for the sake of argument we assume that 20 percent of parents who own \(V\) -chips actually use the devices (that is, \(p=.2\) ), calculate the probability of observing a sample proportion of .17 or less. That is, calculate \(P(\hat{p} \leq .17)\).

b. Based on the probability you computed in part a, would you conclude that fewer than 20 percent of parents who own TV sets equipped with V-chips actually use the devices? Explain.

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