A Random Sample of 1,000 Managers with Degrees in Business

Essay

A random sample of 1,000 managers with degrees in Business Administration classified each person according to their field of concentration and management level as shown below.
​ $$\begin{array} { c | c c | c } \text { Major } & \text { Top Management } & \text { Middle Management } & \text { Total } \\\text { Management } & 300 & 200 & 500 \\\text { Marketing } & 200 & 0 & 200 \\\text { Accounting } & 100 & 200 & 300 \\\text { Total } & 600 & 400 & 1,000\end{array}$$ Test at α = .01 to determine if the position in management is independent of the major of concentration.