A survey of randomly selected university students found that 95 of the 100 first-year students and 100 of the 129 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 (0.0754, 0.2742). Give an interpretation of this confidence interval. O We are 98% confident that, at this university, the proportion of second-year students who bought used textbooks is between 7.54% and 27.42% higher than the proportion of first-year students who bought used textbooks. 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 7.54% and 27.42% higher than the proportion of second-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 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks. We are 98% confident that the first-year students at this university bought between 7.54% and 27.42% more used textbooks than second-year students. We know that 98% of the first-year students bought between 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks.
A survey of randomly selected university students found that 95 of the 100 first-year students and 100 of the 129 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 (0.0754, 0.2742). Give an interpretation of this confidence interval. O We are 98% confident that, at this university, the proportion of second-year students who bought used textbooks is between 7.54% and 27.42% higher than the proportion of first-year students who bought used textbooks. 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 7.54% and 27.42% higher than the proportion of second-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 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks. We are 98% confident that the first-year students at this university bought between 7.54% and 27.42% more used textbooks than second-year students. We know that 98% of the first-year students bought between 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A survey of randomly selected university students found that 95 of the 100 first-year students and 100 of the 129 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: [Blank for input]
(b) If a 98% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0754, 0.2742), give an interpretation of this confidence interval.
- We are 98% confident that, at this university, the proportion of second-year students who bought used textbooks is between 7.54% and 27.42% higher than the proportion of first-year students who bought used textbooks.
- 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 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks.
- We are 98% confident that, at this university, the proportion of first-year students who bought used textbooks is between 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks.
- We are 98% confident that the first-year students at this university bought between 7.54% and 27.42% more used textbooks than second-year students.
- We know that 98% of the first-year students bought between 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F650192d1-d2bd-4507-bb57-c42486ecf22d%2Fa10188ae-15df-43df-97e2-4fc7bac8ebf6%2F6z885xl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A survey of randomly selected university students found that 95 of the 100 first-year students and 100 of the 129 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: [Blank for input]
(b) If a 98% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0754, 0.2742), give an interpretation of this confidence interval.
- We are 98% confident that, at this university, the proportion of second-year students who bought used textbooks is between 7.54% and 27.42% higher than the proportion of first-year students who bought used textbooks.
- 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 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks.
- We are 98% confident that, at this university, the proportion of first-year students who bought used textbooks is between 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks.
- We are 98% confident that the first-year students at this university bought between 7.54% and 27.42% more used textbooks than second-year students.
- We know that 98% of the first-year students bought between 7.54% and 27.42% higher than the proportion of second-year students who bought used textbooks.
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