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Hypothesis Testing Using Proportions

A sample of 60 college students was given a special training program designed to improve their time management skills. One month after completing the course the students were contacted and asked whether the skills learned in the program were effective. A total of 42 responded yes. At the .05 significance level, can we conclude the program is effective?

a.) State the null hypothesis and the alternate hypothesis.
b.) State the decision rule.
c.) Compute the value of the test statistic.
d.) What is your decision regarding the null hypothesis?

Solution Preview

a) The null hypothesis is that the program did not improve the students' time management skills. The alternate hypothesis is that the program did improve their time management.

I think a better way to test these hypotheses than the one given would be to test the time management skills of students who went through the program against those who didn't (i.e have a control group). Since there isn't a control group, let's see if significantly more than half the students ...

Solution Summary

The answer explains in steps how to compute the values and how to determine the null hypothesis.