Among 1,000 Managers with Degrees in Business Administration, the Following

Essay

Among 1,000 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration.
$\begin{array}{lrrr}\text {Major}&\text {Top Management}&\text { Middle Management}&\text {TOTAL}\\\text { Management } & 280 & 220 & 500 \\\text { Marketing } & 120 & 80 & 200 \\\text { Accounting } & 150 & 150 & 300 \\\text { TOTAI } & \mathbf{500} & \mathbf{4 5 0} & \mathbf{1000}\end{array}$
We want to determine if the position in management is independent of field major) of concentration.
a. Compute the test statistic.
b. Using the p-value approach at 90% confidence, test to determine if management position is independent of major.
c. Using the critical value approach, test the hypotheses. Let ? = 0.10.