The fire department in a large city is examining its promotion policy to assess if there is evidence of age discrimination. A random sample of 248 promotion decisions over the past 5 years gives the following information: 39 or younger 40 or older
Promoted 38 46
Not Promoted 80 84

This data will be used to test if there is a relationship between age and promotion decision.

Required:
a. If there were no relationship between age and whether or not a firefighter was promoted, how many firefighters age 40 or older would we expect to be promoted?
b. What is the value of the Chi-square statistic for this test?