An AP Statistics teacher claims that the AP Statistics grade distribution is as follows:

Suppose that a sample of 100 students taking AP Statistics class yields the observed counts shown below:

Use a 0.10 significance level to test the claimed AP Statistics grade distribution is correct.

(a) Identify the appropriate hypothesis test and explain the reasons why it is appropriate for analyzing this data.

(b) Identify the null hypothesis and the alternative hypothesis.

(c) Determine the test statistic. (Round your answer to two decimal places)

(d) Determine the p-value. (Round your answer to two decimal places)

(e) Compare p-value and significance level α. What decision should be made regarding the null hypothesis (e.g., reject or fail to reject) and why?

(f) Is there sufficient evidence to support that the claimed AP Statistics grade distribution is correct? Justify your answer.

GradeABCDPercentageF20%40%20%15%5%Suppose that a sample of 100 students taking AP Statistics class yields the observed countsshown below:GradeABCDFNumber ofStudents253515178Use a 0.10 significance level to test the claimed AP Statistics grade distribution is correct.(a) Identify the appropriate hypothesis test and explain the reasons why it is appropriatefor analyzing this data.(b) Identify the null hypothesis and the alternative hypothesis.(c) Determine the test statistic. (Round your answer to two decimal places)(d) Determine the p-value. (Round your answer to two decimal places)