An automobile club pays for emergency road services (ERS) requested by its members. The current policy rate the automobile club pays is based on the thought that 20% of services requested will be serious mechanical problems requiring towing. However, the insurance company claims that the auto club has a higher rate of serious mechanical problems requiring towing services. Upon examining a sample of 2927 ERS calls from the club members, the club finds that 1499 calls related to starting problems, 849 calls involved serious mechanical failures requiring towing, 498 calls involved flat tires or lockouts, and 81 calls were for other reasons. A. Construct a 98% confidence interval or by hand or step-by-step using R for the rate of all ERS calls from club members that are serious mechanical problems requiring towing services (after checking that necessary assumptions are well met). B.Using your confidence interval in part A, respond to the insurance company's claim. C.The club wants to construct a 95% confidence interval for the rate of service requests that are related to starting problems that has a margin of error of less that 0.01.What sample size should they examine from the ERS calls from their club members if they assume a call rate of 52%? (They chose a value close to what they observed in their sample of 2927 calls).