A random sample was taken of 300 undergraduate students from a university. The students in the sample were classi?ed according to their gender and according to the choice of their major. The result is given in the following table.
|
|
College
|
|
|
Gender
|
Arts and sciences
|
Engineering
|
Business
|
Other
|
Total
|
|
Male
|
75
|
40
|
24
|
66
|
205
|
|
Female
|
45
|
12
|
15
|
23
|
95
|
|
Total
|
120
|
52
|
39
|
89
|
300
|
Test the hypothesis that the choice of the major by undergraduate students in this university is independent of their gender. Use α = 0.01.