Cell phone use by drivers. The U.S. Department of Transportation reported the results of the National Occupant Protection Use Survey. One focus of the survey was to determine the level of cell phone use by drivers while they are in the act of driving a motor passenger vehicle. Data collected by observers at randomly selected intersections across the country revealed that in a sample of 1,165 drivers, 35 were using their cell phone.
a. Give a point estimate of p, the true driver cell phone use rate (i.e., the true proportion of drivers who are using a cell phone while driving).
b. Compute a 95% confidence interval for p.
c. Give a practical interpretation of the interval you found in part b.
d. How many drivers need to be sampled to estimate the true cell phone use rate to within .005 with 95% confidence?
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