The accompanying data on degree of spirituality for samples of natural and social scient...

The accompanying data on degree of spirituality for samples of natural and social scientists at research universities as well as for a sample of non-academics with graduate degrees appeared in the article “Conflict Between Religion and Science Among Academic Scientists” (J. for the Scientific Study of Religion, 2009: 276–292).

a. Is there substantial evidence for concluding that the three types of individuals are not homogenous with respect to their degree of spirituality? State and test the appropriate hypotheses.

b. Considering just the natural scientists and social scientists, is there evidence for non-homogeneity? Base your conclusion on a P-value.