Among 1,000 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration

Major	Top Management	Middle Management	TOTAL
PHD	310	210	520
MBA	140	130	270
Bachelor	130	80	210
TOTAL	580	420	1000

1. with a=0.1, the statistic value of chi square test statistic is

a. 4.605

b. 5.253

c. 10.233

d. 7.243

e. 9.413

2. with a=0.1 what is the conclusion of the test?

a. since calculated x^2 is less than critical x^2 do not reject HO MANAGEMENT POSITION is independent of the highest degree earned

b. since calculated x^2 is less than critical x^2 do not reject HO, management position is not independent of the highest degree earned

c. SInce calculated x^2 is less than critical x^2 reject HO, management position is independent of the highest degree earned

d. Since Calculated x^2 is greater than critical x^2 do not reject HO, managment position is independent of the highest degree earned

e. since calculated x^2 is greater than critical x^2 reject HO, management position is not independent of the hightest degree earned

with a=0.05 what is the conclusion of the test?

a. since calculated x^2 is less than critical x^2 do not reject HO MANAGEMENT POSITION is independent of the highest degree earned

b. since calculated x^2 is less than critical x^2 do not reject HO, management position is not independent of the highest degree earned

c. SInce calculated x^2 is less than critical x^2 reject HO, management position is independent of the highest degree earned

d. Since Calculated x^2 is greater than critical x^2 do not reject HO, managment position is independent of the highest degree earned

e. since calculated x^2 is greater than critical x^2 reject HO, management position is not independent of the hightest degree earned