In a study reported in Computers in Human Behavior ("Facebook and Academic Performance", 2010), researchers investigated the relationship between college GPA and Facebook use. One question the researchers were hoping to answer was whether the "average" college GPA for students who use Facebook is lower than the "average" college GPA for students who do not use Facebook. Two samples (141 students who were Facebook users and 68 students who were not Facebook users) were independently selected from students at a large, public Midwestern university. The data in the facebook data set are not exactly the same as in the article, but are very similar. Use the data in this data set to answer the following questions.

14. (3 points) Based on the p-value, state a conclusion in the context of the problem.

data: GPA by user t = 6.9847, df = 158.03, p-value = 7.492e-11

alternative hypothesis: true difference in means between group No and group Yes is not equal to 0

95 percent confidence interval:

0.3860271 0.6904143

sample estimates: mean in group No mean in group Yes

3.623824 3.085603