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A survey of randomly selected university students found that 91 of the 106 first-year students and 96 of the 141 second-year students surveyed had purchased used textbooks in the past year.

A survey of randomly selected university students found that 91 of the 106 first-year students and 96 of the 141 second-year students surveyed had purchased used textbooks in the past year.

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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A survey of randomly selected university students found that 91 of the 106 first-year students and 96 of the 141 second-year students surveyed had purchased used textbooks in the past year. (a) Construct a 98% confidence interval for the difference in the proportions of first-year and second-year university students who purchased used toxtbooks. (Round your answers to 4 decimal places, if needed.) Answer: (b) If a 99% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0441, 0.3112). Give an interpretation of this confidence interval. O we are 99% confident that, at this university, the proportion of second-year students who bought used textbooks is between 4.41% and 31.12% higher than the proportion of first-year students who bought used textbooks. O we know that 99% of all random samples done on the population will show that the proportion of first-year students who bought used textbooks is between 4.41% and 31.12% higher than the proportion of second-year students who bought used textbooks. O We are 99% confident that, at this university, the proportion of first-year students who bought used textbooks is between 4,41% and 31.12% higher than the proportion of second-year students who bought used textbooks. O we are 99% confident that the first-year students at this university bought between 4.41% and 31.12% more used textbooks than second-year students. O we know that 99% of the first-year students bought betwean 4.41% and 31.12% higher than the proportion of second-year students who bought used textbooks.
Transcribed Image Text:A survey of randomly selected university students found that 91 of the 106 first-year students and 96 of the 141 second-year students surveyed had purchased used textbooks in the past year. (a) Construct a 98% confidence interval for the difference in the proportions of first-year and second-year university students who purchased used toxtbooks. (Round your answers to 4 decimal places, if needed.) Answer: (b) If a 99% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0441, 0.3112). Give an interpretation of this confidence interval. O we are 99% confident that, at this university, the proportion of second-year students who bought used textbooks is between 4.41% and 31.12% higher than the proportion of first-year students who bought used textbooks. O we know that 99% of all random samples done on the population will show that the proportion of first-year students who bought used textbooks is between 4.41% and 31.12% higher than the proportion of second-year students who bought used textbooks. O We are 99% confident that, at this university, the proportion of first-year students who bought used textbooks is between 4,41% and 31.12% higher than the proportion of second-year students who bought used textbooks. O we are 99% confident that the first-year students at this university bought between 4.41% and 31.12% more used textbooks than second-year students. O we know that 99% of the first-year students bought betwean 4.41% and 31.12% higher than the proportion of second-year students who bought used textbooks.
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