question 3

Manisha is a seasoned researcher who specializes in the science of sleep. She conducts a well designed, randomized study of 114 high schoolers and 136 college students in North Carolina and, after (correctly) verifying her assumptions, finds a 98% confidence interval of (0.21, 0.34) for the difference between the proportion of North Carolina college students who suffer from poor quality sleep and the proportion of North Carolina high school students who suffer from poor quality sleep. She asks her six research assistants to summarize this interval for the paper she is writing. Which of the following of her assistants' responses are accurate? Select one or more: a. \"We believe with 98% confidence that the percent of North Carolina college students who experience poor quality sleep is between 21 and 34 percentage points higher than that of North Carolina high school students.\" b. \"About 98% of random samples would give confidence intervals that contained the true difference in proportions of poor quality sleepers between college and high school students in North Carolina. (021.034) is one interval, arising from random samples of college and high school students in North Carolina.\" c. \"We have evidence to suggest that the proportion of students classified as poor quality sleepers in North Carolina is higher for college students than high school students." d. \"We cannot use these results to draw conclusions about the difference in proportions of low quality sleepers between college and high school students in North Carolina.\" e. \"We are 98% confident that the proportion of the 136 college students sampled who experience poor quality sleep is between 0.21 and 0.34 larger than the proportion of the 114 high school students sampled who experience poor quality sleep.\