A study of potential age discrimination considers promotions among managers in a large company. The data are given in the table below. You have to test at a 1% level of significance whether a significant relation between age and promotions exists.



Age

Under 30
30 – 39
40 – 49
50 and over/en meer
Promoted
9 (A)
29 (B)
32 (C)
10 (D)
Not promoted
41 (E)
41 (F)
48 (G)
40 (H)


Calculate the expected value (G)

0.19

0.32

0.68

1.0

54.4

56.2

1 answer

The expected value (G) can be calculated using the formula:

G = (total number of promotions) * (total number of individuals in the age group) / (total number of individuals)

G = (9 + 29 + 32 + 10) * (48 + 40 + 41 + 41) / (9 + 29 + 32 + 10 + 48 + 40 + 41 + 41)

G = 80 * 170 / 250

G = 13.6

Therefore, the expected value (G) is 13.6.