A survey of randomly selected university students found that 91 of the 101 first-year students and 96 of the 136 second-year students surveyed had purchased used textbooks in the past year. (a) Construct a 95% confidence interval for the difference in the proportions of first-year and second-year university students who purchased used textbooks. (Round your answers to 4 decimal places, if needed.) Answer: (b) If a 98% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0809, 0.3093). Give an interpretation of this confidence interval. O We are 98% confident that the first-year students at this university bought between 8.09% and 30.93% more used textbooks than second-year students. O We know that 98% of the first-year students bought between 8.09% and 30.93% higher than the proportion of second-year students who bought used textbooks. O We are 98% confident that, at this university, the proportion of second-year students who bought used textbooks is between 8.09% and 30.93% higher than the proportion of first-year students who bought used textbooks. O We are 98% confident that, at this university, the proportion of first-year students who bought used textbooks is between 8.09% and 30.93% higher than the proportion of second-year students who bought used textbooks. O We know that 98% of all random samples done on the population will show that the proportion of first-year students who bought used textbooks is between 8.09% and 30.93% higher than the proportion of second-year students who bought used textbooks.
A survey of randomly selected university students found that 91 of the 101 first-year students and 96 of the 136 second-year students surveyed had purchased used textbooks in the past year. (a) Construct a 95% confidence interval for the difference in the proportions of first-year and second-year university students who purchased used textbooks. (Round your answers to 4 decimal places, if needed.) Answer: (b) If a 98% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0809, 0.3093). Give an interpretation of this confidence interval. O We are 98% confident that the first-year students at this university bought between 8.09% and 30.93% more used textbooks than second-year students. O We know that 98% of the first-year students bought between 8.09% and 30.93% higher than the proportion of second-year students who bought used textbooks. O We are 98% confident that, at this university, the proportion of second-year students who bought used textbooks is between 8.09% and 30.93% higher than the proportion of first-year students who bought used textbooks. O We are 98% confident that, at this university, the proportion of first-year students who bought used textbooks is between 8.09% and 30.93% higher than the proportion of second-year students who bought used textbooks. O We know that 98% of all random samples done on the population will show that the proportion of first-year students who bought used textbooks is between 8.09% and 30.93% higher than the proportion of second-year students who bought used textbooks.
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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Transcribed Image Text:A survey of randomly selected university students found that 91 of the 101 first-year students and 96 of the 136 second-year students surveyed had purchased
used textbooks in the past year.
(a) Construct a 95% confidence interval for the difference
the proportions of first-year and second-year university students who purchased used textbooks.
(Round your answers to 4 decimal places, if needed.)
Answer:
(b) If a 98% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0809,
0.3093). Give an interpretation of this confidence interval.
O We are 98% confident that the first-year students at this university bought between 8.09% and 30.93% more used textbooks than second-year students.
O We know that 98% of the first-year students bought between 8.09% and 30.93% higher than the proportion of second-year students who bought used
textbooks.
O We are 98% confident that, at this university, the proportion of second-year students who bought used textbooks is between 8.09% and 30.93% higher
than the proportion of first-year students who bought used textbooks.
O We are 98% confident that, at this university, the proportion of first-year students who bought used textbooks is between 8.09% and 30.93% higher than
the proportion of second-year students who bought used textbooks.
O We know that 98% of all random samples done on the population will show that the proportion of first-year students who bought used textbooks is
between 8.09% and 30.93% higher than the proportion of second-year students who bought used textbooks.
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