Q:

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?- The sample proportion from Johns Hopkins will have less sampling variability than that from Ohio State.- The sample proportion from Johns Hopkins will have more sampling variability than that from Ohio State.- The sample proportion from Johns Hopkins will have about the same sampling variability as that from Ohio State.- It is impossible to make any statements about the sampling variability of the two samples because the students surveyed were different.

Accepted Solution

A:
Answer:The sample proportion from Johns Hopkins will have more sampling variability than that from Ohio State.Step-by-step explanation:The number of undergraduates at Johns Hopkins University is approximately 2000.The number at Ohio State University is approximately 40,000.For John Hopkins:[tex]n=0.03\times2000=60[/tex]For Ohio state:[tex]n=0.03\times40000=1200[/tex]So, the correct answer is :The sample proportion from Johns Hopkins will have more sampling variability than that from Ohio State.