High School Graduation: Does PE Help or Hurt? Is the high school graduation rate higher for those who take elective Physical Education

(PE) classes? A random sample of population regions gave the following information about percentage of 15- to 19-year-olds who graduated from high school.

Region 1 2 3 4 5 6 7 8 9 10 Elective PE 92.7 92.5 92.3 78.2 95.8 87.8 96.5 95.8 92.0 90.3 No Elective PE 92.5 93.6 94.0 80.0 97.4 94.8 96.9 95.1 87.9 89.2 Region 11 12 13 14 15 16 17 18 19 20 Elective PE 85.9 96.4 96.4 96.0 94.8 93.1 84.4 93.7 92.0 93.5 No Elective PE 84.4 93.7 96.0 96.1 90.2 90.2 88.0 96.7 92.9 91.8 Does this information indicate that graduation rates are different (either way) depending on whether a student takes elective PE classes? Use a 5 0.01.

please provide the following information.

(a) What is the level of significance? State the null and alternate hypotheses.

(b) Compute the sample test statistic. What is the sampling distribution?

(c) Find the P-value of the sample test statistic.

(d) Conclude the test.

(e) Interpret the conclusion in the context of the application.AppendixLO1