Question: For drivers in the 20-24 age bracket, there is a 34% rate of car accidents in one year (based on data from the National Safety Council). An insurance investigator finds that in a group of 500 randomly selected drivers aged 20-24 living in New York City. 40% had accidents in the last year.

a) If the 34% rate is correct, estimate the probability that in a group of 500 randomly selected drivers, at least 40% had accidents in the last year.

b) Based on your finding in (a), is there strong evidence supporting the claim that the accident rate in the 20-24 age bracket in New York City is higher than 34%? Explain.