3. By Hand: In question #1 we evaluated data from a survey of university graduates which assessed how frequently they ex
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3. By Hand: In question #1 we evaluated data from a survey of university graduates which assessed how frequently they ex
question #1 we evaluated data from a survey of university graduates which assessed how frequently they exercised. The survey was completed by 470 graduates. In the prior example we considered one sample (all students) and compared the observed distribution to the distribution of responses the prior year (a historical control) to assess whether there was a shift in the distribution of responses to the exercise question following the implementation of health promotion campaign on campus. Suppose we now wish to assess whether there is a relationship between exercise on campus and students' living arrangements. As part of the same survey, graduates were asked where they lived their senior year. The response options were dormitory, on-campus apartment, off-campus apartment, and at home (i.e., commuted to and from the university). The data are shown below. No regular Sporadic Regular exercise Total exercise exercise Dormitory 32 30 28 90 On-Campus 74 64 42 180 Off-Campus 110 25 15 150 At home 39 6 5 50 Total 255 125 470 90 Based on the data, is there a relationship between student's living arrangement and exercise? Do you think where a person lives affect their exercise status? Here we have four independent comparison groups (living arrangement) and a discrete (ordinal) outcome variable with three response options. We specifically want to test whether living arrangement and exercise are independent. Run the test at a 5% level of significance.
3. By Hand: In