In the Parent–Teen Cell Phone Survey conducted by Princeton Survey Research Associates International, 800 randomly sampled 16-to 17-year-olds living in the United States were asked whether they have ever used their cell phone to text while driving. Of the 800 teenagers surveyed, 272 indicated that they text while driving. Obtain a 95% confidence interval for the proportion of 16-to 17-year-olds who text while driving.

Formula 2

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By Hand Approach Step 1 Compute the value of p. Step 2 Verify that np (1 - p) 10 (the normality condition) and n 0.05N (the sample size is no more than 5% of the population size the independence condition). Step 3 Step 4 Determine the critical value Z Use Formula (2) to determine the lower and upper bounds of the confidence interval. Step 5 Interpret the result.