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The normal condition for sample proportions

AP.STATS: UNC‑3 (EU), UNC‑3.L (LO), UNC‑3.L.1 (EK)

Problem

According to the admissions director of a certain college, approximately 11, percent of the 250 freshmen admitted had applied using the early decision option. Suppose that we took random samples of 20 freshmen from this population and computed the proportion p, with, hat, on top of freshmen in each sample who had applied using the early decision option. We can assume the admissions director's claim is true.
What will be the shape of the sampling distribution of p, with, hat, on top?
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