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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
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.

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Statistics and Probability, Statistics

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