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

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.