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Age Under 30 30 - 39 40 - 49 50 and Over Total Promoted (Expected) 9 (16.00) 29

ID: 3293853 • Letter: A

Question

Age

Under 30

30 - 39

40 - 49

50 and Over

Total

Promoted

(Expected)

9

(16.00)

29

(22.40)

32

(25.60)

10

(16.00)

80

(80.00)

Not Promoted

(Expected)

41

(34.00)

41

(47.60)

48

(54.40)

40

(34.00)

170

(170.00)

Totals

50

(50.00)

70

(70.00)

80

(80.00)

50

(50.00)

250

(250.00)

Question: What is the Chi Square value for the cell where Not Promoted and 40 – 49 come together (The (2 , 3) cell?

Age

Under 30

30 - 39

40 - 49

50 and Over

Total

Promoted

(Expected)

9

(16.00)

29

(22.40)

32

(25.60)

10

(16.00)

80

(80.00)

Not Promoted

(Expected)

41

(34.00)

41

(47.60)

48

(54.40)

40

(34.00)

170

(170.00)

Totals

50

(50.00)

70

(70.00)

80

(80.00)

50

(50.00)

250

(250.00)

Explanation / Answer

Ans:

Chi square for not promoted and 40-49=(O-E)2/E=(48-54.4)2/54.4=0.753

Calculations for Chi square:

Observed(O) Age Under 30 30 - 39 40 - 49 50 and Over Total Promoted 9 29 32 10 80 Not promoted 41 41 48 40 170 Total 50 70 80 50 250 Expected(E) Age Under 30 30 - 39 40 - 49 50 and Over Total Promoted 16 22.4 25.6 16 80 Not promoted 34 47.6 54.4 34 170 Total 50 70 80 50 250 Chi square=(O-E)^2/E Age Under 30 30 - 39 40 - 49 50 and Over Total chi square= Promoted 3.063 1.945 1.600 2.250 13.025 Not promoted 1.441 0.915 0.753 1.059