At a large urban college, about half of the students live off campus in various arrangements, and the other half live in dormitories on campus. Is academic performance dependent on living arrangements? The results based on a random sample of 300 students are presented here.

Residential Statusa Off Off Campus Campus with with On GPA Roommates Parent Campus Totals Low 22 20 48 90 Moderate 36 40 54 130 High 32 10 38 80 Totals 90 70 140 300

a. Is there a statistically significant relationship between these variables?

b. Compute column percents for the table to determine the pattern of the relationship. Which group is more likely to have a high GPA?