In 2017, ABC News reported that 58% of U.S. drivers admit to speeding. 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, 9,252 were speeding.

a. What is the sample proportion of vehicles on U.S. roads that speed?

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

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

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