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)?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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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