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1. Business is major
The sampling distribution of p
PROBLEM:
According to the National Center for Education Statistics, 20% of students who
recently earned bachelor's degrees were business majors. Imagine taking an SRS of
300 students who recently earned bachelor's degrees and calculating p = the
proportion of students in the sample who majored in business.
(a) Identify the mean of the sampling distribution of p.
(b) Calculate and interpret the standard deviation of the sampling distribution of p.
Verify that the 10% condition is met.
(c) Describe the shape of the sampling distribution of p. Justify your answer.
