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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
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.
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