A random sample of 100 students was taken from a large university to study the relationship between GPA and the number of hours of study per week. The following linear regression equation was obtained:

Y = b0 + b1X + e, where Y is the GPA, X is the number of hours of study per week and e is the error term.

Given that b0 = 2.5, b1 = 0.05 and the standard error of the estimate, se = 0.2, test the hypothesis that there is a positive relationship between GPA and the number of hours of study per week at a significance level of alpha = 0.05.

What is the p-value for the hypothesis test and what is your conclusion about the relationship between GPA and the number of hours of study per week?