12. In a study of 200 accidents that required treatment in an emergency room, 80 of the accidents occurred at home. DE 6Z OZ a) Find a 95% confidence interval for the population proportion of accidents treated in the 2 01 emergency room that occurs at home. b) Find a 99% confidence interval for the same value. c) Find a 90% confidence interval for the same value. d) Clearly explain the relationship between confidence level and the width of the confidence interval. 23 24 25 26 27 20 29 27 28 29 30 8 4 13. A survey of 400 fatal car accidents show that 148 of them were related to distracted driving. Find 0 21 22 23 24 16 17 18 19 20 21 22 20 21 22 23 24 25 26 18 19 20 21 22 23 24 3 14 15 16 17 9 10 11 12 13 14 15 13 14 15 16 17 18 19 11 12 13 14 15 16 17 a 99% confidence interval for the population proportion of fatal car accidents that are related to distracted driving. DEZ 01 6 8 2 9 5 6 ZI |1 01 6 8 4 9 14. a) Explain this statement: "The mayor is reported to have a 39% approval rating with a margin of error of 5%." b) Give 2 ways to make a confidence interval smaller. 15. The financial aid office at a local college surveyed 16 students to gather information about student loans. The sample mean was $2286 and the sample standard deviation was $256. They know the loan debt amount is normally distributed. a) What distribution should be used for this problem? Explain why. b) Find a 99% confidence interval for the population mean student loan debt