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 that 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? Define the parameter and state the hypotheses What is the value of the sample statistic? (use correct notation) What would be a good graph to display this data? Are the conditions for the appropriate analysis met? Explain and show work. Compute the appropriate test statistic (show work). Find the p-value using StatKey. Based on your p-value, what do you conclude? Use α = 0.05 Find a 95% confidence interval for the proportion of questions on all AP exams having B as the correct choice. (Show your calculations.) Write a sentence interpreting your confidence interval.

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...

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 that 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?

Find a 95% confidence interval for the proportion of questions on all AP exams having B as the correct choice. (Show your calculations.) Write a sentence interpreting your confidence interval.

Jun 09, 2022