The number of undergraduates at Johns Hopkins University is approximately 2000,while the number at Ohio State University is approximately 40,000.Suppose,instead,that at both schools a simple random sample of about 3% of the undergraduates will be taken.What can we conclude about the sampling variability for the sample proportion from Johns Hopkins as compared to that from Ohio State?
A)The sample proportion from Johns Hopkins will have less sampling variability than that from Ohio State.
B)The sample proportion from Johns Hopkins will have more sampling variability than that from Ohio State.
C)The sample proportion from Johns Hopkins will have about the same sampling variability as that from Ohio State.
D)It is impossible to make any statements about the sampling variability of the two samples because the students surveyed were different.

Question

Quizplus · Accepted Answer

The sampling variability is inversely related to the square root of the sample size. Since the sample size for Johns Hopkins (approximately 60 students) is smaller than that for Ohio State (approximately 1200 students), the sampling variability for Johns Hopkins will be higher.

The Number of Undergraduates at Johns Hopkins University Is Approximately