A statistics professor has observed that about 13% of the students who initially enroll in his Introductory Stats class withdraw before the end of the semester. A salesman suggests that he try a statistics software package that gets students more involved with computers, predicting it will cut the dropout rate. The software is expensive so the salesman offers to let the professor use it for a semester to see if the dropout rate goes down significantly. a) Is this a one-tailed or two-tailed test?
b) Write the null and alternative hypotheses.
c) In this context, what does it mean that the professor makes a Type I error?
d) In this context, what does it mean that the professor makes a Type II error?