A survey of randomly selected university students found that 95 of the 105 first-year students and 99 of the 140 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 textbooks. (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 (0.0741, 0.3212). 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 7.41% and 32.12% higher than the proportion of first-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 7.41% and 32.12% higher than the proportion of second-year students who bought used textbooks. O We know that 99% of the first-year students bought between 7.41% and 32.12% 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 7.41% and 32.12% more used textbooks than second-year students. 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 7.41% and 32.12% higher than the proportion of second-year students who bought used textbooks.
A survey of randomly selected university students found that 95 of the 105 first-year students and 99 of the 140 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 textbooks. (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 (0.0741, 0.3212). 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 7.41% and 32.12% higher than the proportion of first-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 7.41% and 32.12% higher than the proportion of second-year students who bought used textbooks. O We know that 99% of the first-year students bought between 7.41% and 32.12% 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 7.41% and 32.12% more used textbooks than second-year students. 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 7.41% and 32.12% higher than the proportion of second-year students who bought used textbooks.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Transcribed Image Text:A survey of randomly selected university students found that 95 of the 105 first-year students and 99 of the 140 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 textbooks. (Round your answers to 4 decimal places,
Answer:
needed.)
(b) If a 99% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0741, 0.3212). 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 between 7.41% and 32.12% higher than the proportion of first-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 7.41% and 32.12% higher than the proportion of second-year students who bought used textbooks.
O We know that 99% of the first-year students bought between 7.41% and 32.12% 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 7.41% and 32.12% more used textbooks than second-year students.
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 7.41% and 32.12% higher than the proportion of second-year students who bought used textbooks.
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