Based on information from a previous study, r, = 35 people out of a random sample of n, = 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n, = 104 adult Americans who did attend college, r, = 45 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: P1 < Pzi H;iP1 = P2 O Ho: P1 = P2i H;:P1# P2 O Ho: P1 = P2i H,: P1 < P2 O Ho: P1 = P2i H;:P1 > 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. 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 p, - 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.)
Based on information from a previous study, r, = 35 people out of a random sample of n, = 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n, = 104 adult Americans who did attend college, r, = 45 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use a = 0.01. (a) What is the level of significance? 0.01 State the null and alternate hypotheses. O Ho: P1 < Pzi H;iP1 = P2 O Ho: P1 = P2i H;:P1# P2 O Ho: P1 = P2i H,: P1 < P2 O Ho: P1 = P2i H;:P1 > 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. 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 p, - 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.)
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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