Question: An insurance company checks police records on 582 accidents selected at random and notes that teenagers were at the wheel in 91 of them. Standard Deviation 5

a) Construct a 95% confidence interval for the percentage of all auto accidents that involved teenage drivers.

b) Explain what your interval means

c) A politician urging tighter restrictions on driver’s licenses issued to teens says, “In one of every five auto accidents, a teenager is behind the wheel.” Does your confidence interval support or contradict this statement? Explain.

d) The insurance company also wants to determine the average age of a driver involved in an accident. What sample size is necessary to determine the true average with 99% confidence with a margin of error of +/- 3 years?