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Question In a recent marathon with two races, 24,521 people in the first race finished and 283 dropped out. In the second race, 12,853 people finished and 152 dropped out. Use a 0.05 significance level to test the claim that the rate of those who finished is the same for both races.   a) State the null and alternative hypothesis b) Calculate the test statistic, find the critical value and test the claim by constructing an appropriate confidence interval. c) Based on the results from b), do people finish the two marathons at the same rate (proportion)?

Question In a recent marathon with two races, 24,521 people in the first race finished and 283 dropped out. In the second race, 12,853 people finished and 152 dropped out. Use a 0.05 significance level to test the claim that the rate of those who finished is the same for both races.   a) State the null and alternative hypothesis b) Calculate the test statistic, find the critical value and test the claim by constructing an appropriate confidence interval. c) Based on the results from b), do people finish the two marathons at the same rate (proportion)?

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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In a recent marathon with two races, 24,521 people in the first race finished and 283 dropped out. In the second race, 12,853 people finished and 152 dropped out. Use a 0.05 significance level to test the claim that the rate of those who finished is the same for both races.
 
a) State the null and alternative hypothesis
b) Calculate the test statistic, find the critical value and test the claim by constructing an appropriate confidence interval.
c) Based on the results from b), do people finish the two marathons at the same rate (proportion)?
 
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