2.2 (10%) Among 100 managers with degrees in business administration, the following data have been accumulated as to their fields of concentration.

| Major | Position | | TOTAL |
| --- | --- | --- | --- |
| | Top Management | Middle Management | |
| Management | 28 | 22 | 50 |
| Marketing | 12 | 8 | 20 |
| Accounting | 10 | 20 | 30 |
| TOTAL | 50 | 50 | 100 |

To test if the position in management is independent of field (major) of concentration,

(a) (5%) State the null and alternative hypotheses.