Question

A random sample of 250 patients was selected and their workout timing and diabetes status were recorded. The following table shows the workout timing and severity of diabetes:

Workout
(in minutes)
Severity of diabetes status
Low Moderate High
0 −15 06 27 19
15 to 30 08 38 17
30 to 45 21 45 33
≥ 45 14 18 06

Test at 5% level of significance whether workout habit and diabetes are associated with to each other or not.

08 Mar 2024
Answer :
Word Count : 375

To test whether workout habits and diabetes severity are associated, we perform a Chi-square test for independence. Here are the steps:

1. Hypotheses

  • Null Hypothesis (H0H_0): Workout timing and severity of diabetes are independent (not associated).
  • Alternative Hypothesis (HaH_a): Workout timing and severity of diabetes are associated.

2. Observed Frequencies (OijO_{ij})

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