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A survey of randomly selected university students found that 93 of the 104 first-year students and 97 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. (Rou nd your answers to 4 decimal places, if needed) (b) If a 98% confidence interval for the difference in proportion of first-year and second-year university students who purchased used textbooks is (0.0667, 0.2953). Give an interpretation of this confidence interval. 0 We are 98% confident that the first-year students at this university bought between 6.67% and 29.53% more used textbooks than second-year students. 0 We are 98% confident that. at this university, the proportion of first-year students who bought used textbooks is between 6.67% and 29.53% higher than the proportion of second-year students who bought used textbooks. 0 We know that 98% of the first-year students bought between 6.67% and 29.53% higher than the proportion of second-year students who bought used textbooks. 0 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 6.67% and 29.53% higher than the proportion of second-year students who bought used textbooks. 0 We are 98% confident that, at this university, the proportion of second-year students who bought used textbooks is between 6.67% and 29.53% higher than the proportion of first-year students who bought used textbooks