Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 87 politically conservative voters, r1 = 20 responded yes. Another random sample of n2 = 78 politically moderate voters showed that r2 = 21 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. (a) What is the level of significance? State the null and alternate hypotheses. H0: p1 = p2; H1: p1 ≠ p2H0: p1 = p2; H1: p1 > p2 H0: p1 < p2; H1: p1 = p2H0: p1 = p2; H1: p1 < p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large.The standard normal. We assume the population distributions are approximately normal. What is the value of the sample test statistic? (Test the difference p1 − p2. 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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Description: Would you favor spending more federal tax money on the arts? Of a random sample of n1 = 87 politically conservative voters, r1 = 20 responded yes. Another random sample of n2 = 78 politically moderate voters showed that r2 = 21 responded yes. Does th

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Would you favor spending more federal tax money on the arts? Of a random sample of n₁ = 87 politically conservative voters, r₁ = 20 responded yes. Another random sample of n₂ = 78 politically moderate voters showed that r₂ = 21 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.

(a) What is the level of significance?

State the null and alternate hypotheses.

H₀: p₁ = p₂; H₁: p₁ ≠ p₂H₀: p₁ = p₂; H₁: p₁ > p₂ H₀: p₁ < p₂; H₁: p₁ = p₂H₀: p₁ = p₂; H₁: p₁ < p₂

(b) What sampling distribution will you use? What assumptions are you making?

The Student's t. The number of trials is sufficiently large.The Student's t. We assume the population distributions are approximately normal. The standard normal. The number of trials is sufficiently large.The standard normal. We assume the population distributions are approximately normal.

What is the value of the sample test statistic? (Test the difference p₁ − p₂. 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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