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[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics) In a prior example we evaluated data from a survey of university graduates which assessed, among other things, how frequently they exercised. The survey was completed by 470 graduates. In the prior example we used …
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[>Statistics homework help](https://www.sweetstudy.com/fields/mathematics-statistics)
In a prior example we evaluated data from a survey of university graduates which assessed, among other things, how frequently they exercised. The survey was completed by 470 graduates. In the prior example we used the χ2 goodness-of-fit test to assess whether there was a shift in the distribution of responses to the exercise question following the implementation of a health promotion campaign on campus. We specifically considered one sample (all students) and compared the observed distribution to the distribution of responses the prior year (a historical control). 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 Exercise**
**Sporadic Exercise**
**Regular Exercise**
**Total**
**Dormitory**
32
30
28
90
**On-Campus Apartment**
74
64
42
180
**Off-Campus Apartment**
110
25
15
150
**At Home**
39
6
5
50
**Total**
255
125
90
470
Based on the data, is there a relationship between exercise and a student's living arrangement? 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 arrangements and exercise are independent.
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