3) A manufacturer of a new medication on the market for Parkinson's disease makes a claim that the medication is effective in 75% of people who have the disease. One hundred fifty individuals with Parkinson's disease are given the medication, and 100 of them note the medication was effective. Dos this finding provide statistical evidence at the 0.05 level that the effectiveness is less than the 75% claim te company made? Make sure to include parameter, conditions, calculations, and a conclusion in your answer.

4) Fifteen students from Poppy High School were accepted at Branch University. Of those students, six were offered academic scholarships and nine were not. Mrs. Bergen believes Branch University may be accepting students with diferent ACT scores f they have an academic scholarship. The newly accepted student ACT scores are shown here.

Academic scholarship: 25, 24, 23, 21, 22, 20

No academic scholarship: 23, 25, 30, 32, 29, 26, 27. 29, 27

Part A: Do these data provide convincing evidence of a difference in ACT scores between students with and without an academic scholarship? Cary out an

appropriate test at the a = 0.02 significance level. (5 points)

Part B: Create and interpret a 98% confidence interval for the difference in the ACT scores between students with and without an academic scholarship. (5 points)