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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 rep 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 Very 56 58 Degree of Spirituality Moderate Slightly 157 196 219 241 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. O Ho: The spirituality category proportions are not all the same for natural scientists and social scientists. H: The spirituality category proportions are the same for natural scientists and social scientists. Not at All 214 237 Ho: The spirituality category proportions are the same for natural scientists and social scientists. H: 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 can you conclude? What is the P-value for the test? (Round your answer to four decimal places.) P-value=

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 rep 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 Very 56 58 Degree of Spirituality Moderate Slightly 157 196 219 241 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. O Ho: The spirituality category proportions are not all the same for natural scientists and social scientists. H: The spirituality category proportions are the same for natural scientists and social scientists. Not at All 214 237 Ho: The spirituality category proportions are the same for natural scientists and social scientists. H: 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 can you conclude? What is the P-value for the test? (Round your answer to four decimal places.) P-value=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 Very 56 58 Degree of Spirituality Moderate Slightly Not at All 214 237 157 219 196 241 State the null and alternative hypotheses. O Ho: The spirituality category for natural scientists and social scientists are not independent. H₂: The spirituality category for natural scientists and social scientists are independent. O Ho: 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. O Ho: 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. What can you conclude? O Ho: The spirituality category for natural scientists and social scientists are independent. H₂: 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 =
Transcribed Image Text: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 Very 56 58 Degree of Spirituality Moderate Slightly Not at All 214 237 157 219 196 241 State the null and alternative hypotheses. O Ho: The spirituality category for natural scientists and social scientists are not independent. H₂: The spirituality category for natural scientists and social scientists are independent. O Ho: 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. O Ho: 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. What can you conclude? O Ho: The spirituality category for natural scientists and social scientists are independent. H₂: 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 =
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