No software output is required for this assignment. 1. 6.58 Multiple-choice questions on Advanced Placement exams have five options: A, B, C, D, and E. A random sample of the correct choice on 400 multiple-choice questions on a variety of AP exams shows th B was the most common correct choice, with 90 of the 400 questions having B as the answer. Does this provide evidence that B is more likely than 20% to be the correct choice? a. State hypotheses, and calculate the sample statistic. b. Are conditions met for using a Normal distribution for this test? Explain. c. Calculate the standard error and z-test statistic, assuming a Normal distribution is appropriate. d. Find the p-value and draw a Normal curve with appropriate shaded region. p-value: e. State the conclusion of the test in context, using nontechnical language. f. Find a 95% confidence interval for the proportion of questions on all AP exams having B as the corred choice using the normal distribution and the formula for standard error. Show your calculations