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Chi Square analysis: Tom Brady is the recreation director for a large university. He is worried about the fitness level of the students and is

Chi Square analysis:

Tom Brady is the recreation director for a large university. He is worried about the fitness level of the students and is interested to know if the accommodation choice of the students is related to their level of exercise. He will use this data to help plan future fitness programs.

Accommodation 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

Using a significance level of 0.05, the chi-square statistic is 60.4394. The p-value is < 0.00001

Required:

  1. Write the null and alternate hypotheses for this data. (2 marks)
  2. Evaluate what the chi square results mean. (4 marks)
  3. Based on the results, what decisions or further research might Tom make? (4 marks)

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