Need help these problems for my statistics class.

12. (10 points) Hypothesis Testing. In a study published in American Journal of Psychiatry, re- searchers wanted to measure the effect of alcohol on the development of the hippocampal region in adolescents. The hippocampus is the portion of the brain responsible for longterm memory storage. The researchers randomly selected 12 adolescents with alcohol use disorders. They wanted to determine whether the hippocampal volumes in the alcoholic adolescents were less than the normal volume of 9.02 cubic centimeters. An analysis of the sample data revealed that the hippocampal volume is approximately normal. Conduct the appropriate test at the oz = 0.01 level of signicance. The following data is the hippocampal volume of the 12 randomly selected adolescents with alcohol use disorder. 8.87, 8.84, 9.1, 8.85, 8.7, 8.6, 8.9, 8.1, 8.7, 8.6, 8.61, 8.72 (a) (2 points) Write out an appropriate hypothesis. (b) (3 points) Verify that the requirements for a hypothesis test are satised. (c) (2 points) Find the test statistic and P-value. (d) (3 points) Write out an appropriate conclusion in the context of the problem. 11. (10 points) Confidence Interval. In a simple random sample of 1000 American age 20 or over, the proportion with diabetes was found to be 13% (130). (a) (3 points) Verify that the requirements for constructing a confidence interval about p are satisfied. (b) (4 points) Construct a 90% confidence interval estimate for the proportion of all Ameri- cans age 20 or over with diabetes. (c) (3 points) According to The Center for Disease Control, nationally 9% of all Americans age 20 or over have diabetes. Does the confidence interval you found in part b, prove or disprove this claim? Explain