Question

10. The institutional researcher at a community college reads that the persistence rate (percent of students who return to college for the next academic year) is higher for full-time students as compared to part-time students. He decides to test this out at his college. He tracks a randomly selected randomly selected sample of 350 full- time students and 480 part-time students. Of the 350 full-time students, 316 return to college the next year. Of the 480 part-time students, 319 return to college next year. Conduct an appropriate hypothesis test at 5% significance level. Show all steps carefully, including a well-labeled graph showing your p-value.

a. State and describe the appropriate parameter(s).

b. State the hypotheses.

c. State the Type I and Type II errors in context.

d. State and describe the appropriate random variable. e. State the test statistic and the p-value.

f. Sketch an accurate and fully labeled graph showing the p-value.

g. Make the decision and state the conclusion in the context of the problem.

Answer 1