22. To determine whether there is any relationship between the school attended to earn an engineering degree and success at a job, a sample of 300 engineers who earned their degree from different schools S1, S2, S3 is randomly selected, and then each engineer is classified according to his/her success (high, average, low) and the school from where they earned their degree. The data are shown below. Test, at the 1% level of significance, the hypothesis that the success at a job is independent of the school where one earns his/her degree.

S 1 S 2 S 3 High 25 39 23 Average 42 67 32 Low 21 33 18