Procrastination is an issue many college students face and which teachers wish students would overcome. A random sample of 8 volunteers participated in a study where they received counseling about procrastination. Before the counseling, the participants were given an exam about their study habits from the past week. After the counseling, the same students were given an exam about their study habits. A higher test score indicates that the participants are more likely to procrastinate. The before and after scores on a scale from 1 to 10 for each volunteer are given in the table below. Conduct a hypothesis test to see whether there is a difference between the procrastination scores before and after the counseling session.  Before: 2, 10, 7, 3, 4, 8, 10, 3 After: 2, 9, 7, 3, 2, 6, 8, 1 hypothesis test needed

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.