The accompanying data on degree of spirituality for a sample of natural scientists and a sample of social scientists wor

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The Accompanying Data On Degree Of Spirituality For A Sample Of Natural Scientists And A Sample Of Social Scientists Wor 1 (117.56 KiB) Viewed 16 times

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. Natural Scientists Social Scientists USE SALT Very 54 57 Degree of Spirituality Moderate 162 Slightly 197 226 248 Not at All 216 234 State the null and alternative hypotheses. OH,: The spirituality category for natural scientists and social scientists are not independent. H: The spirituality category for natural scientists and social scientists are independent. OH,: The spirituality category proportions are not all the same for natural scientists and social scientists. H₂: The spirituality category proportions are the same for natural scientists and social scientists. OH: The spirituality category proportions are the same for natural scientists and social scientists. H₂: The spirituality category proportions are not all the same for natural scientists and social scientists. O Ho: The spirituality category for natural scientists and social scientists are independent. H: The spirituality category for natural scientists and social scientists are not independent. Calculate the test statistic. (Round your answer to two decimal places.) x² = What is the P-value for the test? (Round your answer to four decimal places.) P-value = What can you conclude? O Reject Ho. There is convincing evidence to conclude that there is an association between natural scientists and social scientists. O Reject Ho. There is convincing evidence to conclude that the spirituality category proportions are not all the same for natural scientists and social scientists. O Do not reject Ho. There is not enough evidence to conclude that there is an association between natural scientists and social scientists. O Do not reject H. There is not enough evidence to conclude that the spirituality category proportions are not all the same for natural scientists and social scientists.