It is a well known fact that college students begin their academic career in a particular major but many will switch majors (some more than once) before they graduate. An advisor in a College of Science was curious if students were gravitating towards particular majors as they progressed towards their final degree. The advisor collected data on the number of majors within specific programs, divided into year of study. The data are below. Do these data confirm the advisors suspicion that some majors tend to attract more students over time? If any trend towards a preference are statistically significant, conduct the appropriate post-hoc tests to identify which major(s) is(are) more popular than others.
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