Accident Epidemiology Automobile accidents are a frequent occurrence and one of the leading causes of morbidity and mortality among persons 18-30 years of age. The National Highway & Traffic Safety Administration (NHTSA) has estimated that the average driver in this age group has a 6.5% probability of having at least one police-reported automobile accident over the past year. Suppose we study a group of medical interns who are on a typical hospital work schedule in which they have to work through the night for at least one of every three nights. Among 24 interns, 6 report having had an automobile accident over the past year while driving to or from work. Suppose the interns have the same risk of having an automobile accident as a typical person ages 18-30. LAUSE SALT (a) What is a reasonable probability model for the number of interns with at least one automobile accident over the past year? What are the parameters of this model? (Use a normal approximation If appropriate. Enter your parameters as a comma separated list of equations.) A reasonable probability model is a binomial :✓ distribution with parameters (b) Apply the model in part (a) to assess whether there is an excessive number of automobile accidents among interns compared with the average 18- to 30-year old. Explain your answer. (Round your answer to four decimal places. Consider probabilities less than 0.05 as fairly unlikely.) , Indicating that observing Assuming the interns have this many accidents is ✔✓the same risk of having an automobile accident as a typical 18- to 30-year old, the probability of observing as many accidents or more as we did in our sample of 24 Interns is ✔fairly unlikely. The study is expanded to include 56 medical interns, of whom 11 report having had an automobile accident over the past year. One issue in the above study is that not all people report automobile accidents to the police. The NHTSA estimates that only half of all auto accidents are actually reported. Assume this rate applies to interns. (c) What is an exact probability model for the number of automobile accidents over the past year for the 56 medical Interns? (Note: The 11 reported accidents include both police-reported and non-police-reported accidents). (Enter your parameters as a comma separated list of equations.) An exact probability model is a binomial distribution with parameters. (d) Assess whether there is an excessive number of automobile accidents among interns under these altered assumptions. Explain your answer. (Use a normal approximation if appropriate. Round your answer to four decimal places. Consider probabilities less than 0.05 as fairly unlikely.) , Indicating that observing Assuming the interns have this many accidents is not : ✔the same risk of having an automobile accident as a typical 18- to 30-year old, the probability of observing as many accidents or more as we did in our sample of 56 interns is fairly unlikely.