In: Statistics and Probability
The U.S. Department of Transportation reported that in a large study of mobile phone use while driving conducted in 2015, 4.4% of female drivers observed and 3.5% of male drivers observed were using a handheld mobile phone while driving.† Suppose that these percentages were based on observations from independent random samples of 1,300 male drivers and 1,300 female drivers (the actual sample sizes were much larger).
Assume that it is reasonable to regard these samples as representative of male drivers and female drivers in the United States. Estimate the difference in the proportion of male drivers and the proportion of female drivers who use a mobile phone while driving using a 95% confidence interval. (Use pmale − pfemale. Use a table or technology. Round your answers to four decimal places.)