NBC asked a sample of VCR owners to record “Late Night with David Letterman” on their VCRs. Of the 125 VCR owners surveyed, 83 either “gave up or screwed up” because they did not understand how to...

NBC asked a sample of VCR owners to record “Late Night with David Letterman” on their VCRs. Of the 125 VCR owners surveyed, 83 either “gave up or screwed up” because they did not understand how to program the VCR. Construct a 90 percent confidence interval for the true proportion of VCR owners who cannot program their VCRs. (Data are from Popular Science 237, no. 5, p. 63.)