A random sample was taken of 300 undergraduate students from a university. The students in the sample were classified 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 Female 45 Total 120 40 28 24 66 205 12 15 52 39 89 28 23 95 300 Test the hypothesis that the choice of the major by undergraduate students in this university is independent of their gender. Use α=0.01.