The fire department in a large city is examining its promotion policy to asses 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 PmTHf'tw\" Under 30 3039 4049 50 or older dECISlon Promoted 9 29 34 12 Not promoted 41 39 46 38 a. Is the promotion decision for the employees related to the age of the employees? Use a = 0.05. b. Suppose the age categories were condensed into only two groups: 39 or younger and 40 or older. Recreate the table above for the new grouping, and rerun the test to see if the promotion decision for employees is related to the age of the employees, using a! = 0.05. c. Is your conclusion for part b. different than your conclusion for part a.? Why might this be so