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A random sample of students from UCF(n=60) and from Penn State(n=70) are asked whether they plan a career in one of three different fields, Science,

A random sample of students from UCF(n=60) and from Penn State(n=70) are asked whether they plan a career in one of three different fields, Science, Business, or Education. For the UC students, 20 say Science, 30 say Business, and 10 say Education. For PSU students, it is Science=10, Business= 50, Education= 10. At alpha= 0.01, is there a difference in career preference between students in these two universities? What is the difference?

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