Question

The accompanying data on degree of spirituality for a sample of natural scientists and a sample of social scientists working at research universities appeared in a paper. Assume that it is reasonable to regard these two samples as representative of natural and social scientists at research universities. Is there evidence that the spirituality category proportions are not the same for natural and social scientists? Test the relevant hypotheses using a significance level of 0.01.

	Degree of Spirituality
	Very	Moderate	Slightly	Not at All
Natural Scientists	58	162	193	211
Social Scientists	56	219	239	235

(A) Calculate the test statistic. (Round your answer to two decimal places.)
χ² =

What is the P-value for the test? (Round your answer to four decimal places.)
P-value =

Answer 1

The software output for this problem is:

Hence,

a) Test statistic = 2.49

b) P-value = 0.2885