The document outlines statistics regarding undergraduates at Johns Hopkins University and Ohio State University, emphasizing that 67% of Johns Hopkins undergraduates believe drinking is a problem. A sample of 50 students from Johns Hopkins found that 60% shared this belief. It also discusses related parameter values such as sample size (n) and probability (p), calculating the mean of the sampling distribution.

1. The number of undergraduates at Johns Hopkins University is approximately 2000, while the
number at Ohio State University is approximately 40,000.
(c) Suppose the actual proportion of undergraduates at Johns Hopkins University who feel
drinking is a problem among college students is 67%. A simple random sample of 50
undergraduates at Johns Hopkins University found that 60% of those sampled felt that drinking
was a problem among college students. Which value(s) can be labeled as a parameter(s)?
(d) Suppose the actual proportion of undergraduates at Johns Hopkins University who feel
drinking is a problem among college students is 67%. What is the mean of the sampling
distribution of the percentage of students who feel drinking is a problem in repeated simple
random samples of 50 Johns Hopkins undergraduates?
Solution
sol)
The Parameters are n(sample size) and p is probability
n=50 and p=0.60
d) Let X follows Binomial distribution with n=50 and p=0.60
Then mean=np =50*0.60
=30