Would you favor spending more federal tax money on the arts? This question was asked by a

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Would you favor spending more federal tax money on the arts? This question was asked by a research group on behalf of The National Institute. Of a random sample of n1 = 93 politically conservative voters, r1 = 21 responded yes. Another random sample of n2 = 83 politically moderate voters showed that r2 = 22 responded yes. Does this information indicate that the population proportion of conservative voters inclined to spend more federal tax money on funding the arts is less than the proportion of moderate voters so inclined? Use α = 0.05.
Please provide the following information:
(a) What is the level of significance? State the null and alternate hypotheses.
(b) What sampling distribution will you use? What assumptions are you making? Compute the sample test statistic.
(c) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.
(d) Based on your answers in parts (a)–(c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
(e) Interpret your conclusion in the context of the application.
Distribution
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Understanding Basic Statistics

ISBN: 9781111827021

6th Edition

Authors: Charles Henry Brase, Corrinne Pellillo Brase

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