Would you favor spending more federal tax money on the arts? Of a random sample of n₁208 women, r53 responded yes. Another random sample of n₂ 169 men showed that r₂ = 50 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion men who favor spending more federal tax dollars on the arts? Use a = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O : Pg < Pa! HaPp = Pa Ho! P1 P₂² H₁: P1 P₂ O Hoi Pq Pyl Hy! Pg » P₂ O Mg} P: * Pg} Hg: P: *P? (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. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. 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.)
Would you favor spending more federal tax money on the arts? Of a random sample of n₁208 women, r53 responded yes. Another random sample of n₂ 169 men showed that r₂ = 50 responded yes. Does this information indicate a difference (either way) between the population proportion of women and the population proportion men who favor spending more federal tax dollars on the arts? Use a = 0.05. USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O : Pg < Pa! HaPp = Pa Ho! P1 P₂² H₁: P1 P₂ O Hoi Pq Pyl Hy! Pg » P₂ O Mg} P: * Pg} Hg: P: *P? (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. We assume the population distributions are approximately normal. O The standard normal. The number of trials is sufficiently large. O The Student's t. The number of trials is sufficiently large. 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.)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 15PPS
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