2. Two-variable chi-square: A researcher wishes to investigate whether students' scores on a college entrance examination (CEE) have any indicative power for future college performance as measured by GPA. In other words, he wishes to investigate whether the factors CEE and GPA are independent or not. He randomly selects n=100 students in a college and notes each student's score on the entrance examination and his grade point average at the end of the sophomore year. He divides entrance exam scores into two levels and grade point averages into three levels. Sorting the data according to these divisions, he forms the contingency table shown as in table below, in which the row and column totals have already been computed. Test, at the 5% level of signicance (0t=0.05), whether these data provide sufficient evidence to conclude that CEE scores indicate future performance levels of incoming college freshmen as measured by GPA. Table CEECEE versus GPAGPA Contingency Table GPAGPA Row 322 Total :15