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The fire department in a large city is examining its promotion policy to assess if there is the potential for an age discrimination lawsuit. A

The fire department in a large city is examining its promotion policy to assess if there is the potential for an age discrimination lawsuit. A random sample of 248 promotion decisions over the past 5 years yields the following information.

Age at Promotion Decision
Promotion Decision Under 30 30 - 39 40 - 49 50 or Older
Promoted 9 29 34 12
Not Promoted 41 39 46 38

  1. What is the population of interest?

2. Is the promotion decision for the fireman related to the age of the fireman. Perform a hypothesis test. Use = 0.05.Show all calculations for expected values and the test statistics when performing this Chi-Square test for Association. Use the Rejection Region Method.

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