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