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.

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. 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. Based on that result, is there strong evidence supporting the claim that the accident rate in New York City is higher than 34%?