Natural science and social science professors as well as non-academic scientists were polled on their degree of spirituality and asked to rank it as: very spiritual, moderately spiritual, slightly spiritual or not spiritual at all.

The results were:

degree	natural scientist	social scientist	non-academic
very	56	56	109
moderately	162	223	164
slightly	198	243	74
not at all	211	239	28

They were interested in knowing whether the three types of scientists arehomogeneouswith respect to their spirituality.

What is the degrees of freedom that you will use to find the critical value?