16.4.3 At the beginning of the semester a random sample of 104 students was selected out of students in all introductory statistics classes. Students were then classified according to their GPA (I, “below 3.0”; 11, “between 3.0 and 3.5”; and 111,

“above 3.5”) and their attitude towards the statistics course (i, “I hate to take this class but I have to”; ii, “I do not mind taking this class but it is not one of my favorites”;

iii, “I look forward to taking this class”). The results of classifications are given below.

i I1 iii I 14 8 2 I1 10 14 12 I11 6 16 22 Test the hypothesis of independence of both classification variables. In the case of lack of independence, use decomposition to identify the cause of dependence.