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Would you favor spending more federal tax money on the arts? Of a random sample of n, = 208 women, r, = 69 responded yes. Another random sample of n, = 172 men showed tha r, = 63 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P1 = P2i H:P1> P2 O Ho: P1 = P2i H;iP1

Would you favor spending more federal tax money on the arts? Of a random sample of n, = 208 women, r, = 69 responded yes. Another random sample of n, = 172 men showed tha r, = 63 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P1 = P2i H:P1> P2 O Ho: P1 = P2i H;iP1

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Would you favor spending more federal tax money on the arts? Oof a random sample of n, = 208 women, r, = 69 responded yes. Another random sample of n, = 172 men showed that r, = 63 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P1 = P2i H;: P1 > P2 O Ho: P1 = P2i H;iP1 < P2 HoiP1<Pzi Hq: P1 = P2 O 2 Ho: P1 = P2iHiiP1* P2 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficiently large. O The standard normal. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. What is the value of the sample test statistic? (Test the difference p, - p3. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
Transcribed Image Text:Would you favor spending more federal tax money on the arts? Oof a random sample of n, = 208 women, r, = 69 responded yes. Another random sample of n, = 172 men showed that r, = 63 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion of men who favor spending more federal tax dollars on the arts? Use a = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P1 = P2i H;: P1 > P2 O Ho: P1 = P2i H;iP1 < P2 HoiP1<Pzi Hq: P1 = P2 O 2 Ho: P1 = P2iHiiP1* P2 (b) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficiently large. O The standard normal. The number of trials is sufficiently large. O The Student's t. We assume the population distributions are approximately normal. What is the value of the sample test statistic? (Test the difference p, - p3. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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