ABC News reports that 58% of U.S. drivers admit to speeding (ABC News website, May 27, 2016). Suppose that a new satellite technology can instantly measure the speed of any vehicle on a U.S. road and determine whether the vehicle is speeding, and this satellite technology was used to take a sample of 20,000 vehicles at 6:00 p.m. EST on a recent Tuesday afternoon. Of these 20,000 vehicles, 9252 were speeding.

a. What is the point estimate for the proportion of vehicles on U.S. roads that speed?

b. Using 99% confidence, what is the margin of error?

c. Using the results from part (a) and part (b), develop the 99% confidence interval estimate of the proportion of vehicles on U.S. roads that speed.

d. What the confidence interval in part (c) lead you to conclude about the ABC News report?