Test the hypothesis that for the population of students in this professor's classes each additional homework problem complete leads to an increase of at least 2 points on the quiz versus the alternative that the increase is less than 2 points. Allow for 5% type 1 error.

Quiz Score Number of HW problems
1 1
2 1
2 2
3 2
5 3
4 3
7 4
6 4
8 5
10 5