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In 2002, 40% of the students at a major university were Business majors, 35% were Engineering majors, and the rest of the students were majoring in other fields. In a sample of 600 students from the same university taken in 2003, 200 were Business majors, 220 were Engineering majors, and the remaining students in the sample were majoring in other fields. Using α = .05, test to see if there has been a significant change in the proportions between 2002 and 2003. Please show working.

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