Mr. Roby is trying to estimate the difference in the proportion of his male students who on average sleep fewer than 6 hours per night compared with his female students. He selects a random sample of 20 of his 75 male students and finds that 5 of them sleep fewer than 6 hours per night. He selects another random sample of 17 of his 100 female students and finds that 8 of them sleep fewer than 6 hours a night. Check the conditions for constructing a confidence interval for the difference in proportions.

Random condition: met, not met, does not apply

10% condition: met, not met, does not apply

Large Counts condition: met, not met, does not apply

Are all the conditions for inference met? yes, no, not enough information