The Student Newspaper at a College Asks a Simple Random

question 42

Multiple Choice

The student newspaper at a college asks a simple random sample of 250 undergraduates, "Do you favor eliminating supplemental fees for lab courses?" In all, 150 of the 250 are in favor of eliminating such fees.
Suppose that (unknown to you) 55% of all undergraduates favor eliminating supplemental fees for lab courses. If you took a very large number of simple random samples of size n = 250 from this population, the sampling distribution of the sample proportion p would be approximately normal with

• A) mean 0.55 and standard deviation 0.015.
• B) mean 0.60 and standard deviation 0.06.
• C) mean 0.55 and standard deviation 0.06.
• D) mean 0.60 and standard deviation 0.03.
• E) mean 0.55 and standard deviation 0.03.