2175-6362-US1 13. An insurance company checks police records on 600 randomly selected auto accidents and notes that teenagers were at the wheel in 90 of them. Construct a 95% confidence interval estimate of the proportion of auto accidents that involve teenage drivers. Show all work. Just the answer, without supporting work, will receive no credit. ______________________________________________________________________________ 14. In a study designed to test the effectiveness of acupuncture for treating migraine, 100 patients were randomly selected and treated with acupuncture. After one-month treatment, the number of migraine attacks for the group had a mean of 2 and standard deviation of 1.5. Construct a 95% confidence interval estimate of the mean number of migraine attacks for people treated with acupuncture. Show all work. Just the answer, without supporting work, will receive no credit. ______________________________________________________________________________ 15. Mimi is interested in testing the claim that banana is the favorite fruit for more than 50% of adults. She conducted a survey on a random sample of 100 adults. 58 adults in the sample chose banana as his / her favorite fruit. Assume Mimi wants to use a 0.10 significance level to test the claim. a. State the research/alternate hypothesis and the null hypothesis. b. Identify the characteristics of the comparison (HO) distribution (its mean(s), standard deviation(s), df if applicable, number of tails in test, etc) and the quantities used to derive these characteristics. c. Determine correct hypothesis test to use, then use level of significance to determine and identify either or cutoff score(s). d. Determine either the p-value or the test statistic. e. Determine whether to reject/fail to reject the null hypothesis, AND state the result of the test (either research hypothesis supported, or study is inconclusive): Is there sufficient evidence that banana is the favorite fruit for more than 50% of adults.? Explain. Show all work! List all assumptions and entering arguments (df, number of tails in test, etc). Writing the correct or cutoff score, without supporting logic such as formulas used and assumptions made, will receive no credit. ______________________________________________________________________________ 6