Problem : i'm GGDion page tin Multiple-choice questions on Advanced Placement cums have five options: A, B. C. D. and E A random simple of the concel choice on 400 multiple-choice questions on a variety of AP exam shows that I was the most common correct choice, with 90 of the 400 questions having B as the maw Does this provide evidence that B is more likely than 20%% to be the correct choice? (a) State hypotheses and calculate the simple statistic. (b) Are conditions met for using a normal distribution for this tour? Explain. ml -p)= (c) Calculate the standard error and retest viatitle, assuming a normal distribution is appropriate Show your calculations. (d) Find the p-value and draw a normal curve with appropriate shaded region. You may give either a precise p-value from software or bounds on a p-value from Table A. (e) State the conclusion of the test in context. (f) Find a 95% confidence interval for the proportion of questions on all AP exams having B as the correct choice. Show your calculations. SE ME 95% CL