27. Dropouts. A Statistics professor has observed that

Chapter 21, Problem 27

(choose chapter or problem)

27. Dropouts. A Statistics professor has observed that forseveral years about 13% of the students who initially enrollin his Introductory Statistics course withdraw beforethe end of the semester. A salesman suggests that he try a statistics software package that gets students more involvedwith computers, predicting that it will cut thedropout rate. The software is expensive, and the salesmanoffers to let the professor use it for a semester to seeif the dropout rate goes down significantly. The professorwill have to pay for the software only if he chooses tocontinue using it.a) Is this a one-tailed or two-tailed test? Explain.b) Write the null and alternative hypotheses.c) In this context, explain what would happen if the professormakes a Type I error.d) In this context, explain what would happen if the professormakes a Type II error.e) What is meant by the power of this test?