A poll was taken of 1010 students in a state, about whether or not they play some sports during college. In this sample, 202 students responded "yes". a) Use these data to find a 95% confidence interval for the population proportion p of all students in this state who play some sports during college. b) What is the sample size needed that would ensure an error margin at most .01 for a 95% confidence interval, if the sample proportion is unknown ?

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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A poll was taken of 1010 students in a state, about whether or not they
play some sports during college. In this sample, 202 students responded "yes".
a) Use these data to find a 95% confidence interval for the population proportion p of
all students in this state who play some sports during college.
b) What is the sample size needed that would ensure an error margin at most .01 for a
95% confidence interval, if the sample proportion is unknown ?
Transcribed Image Text:A poll was taken of 1010 students in a state, about whether or not they play some sports during college. In this sample, 202 students responded "yes". a) Use these data to find a 95% confidence interval for the population proportion p of all students in this state who play some sports during college. b) What is the sample size needed that would ensure an error margin at most .01 for a 95% confidence interval, if the sample proportion is unknown ?
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