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QuizMultiple Choice

Sampling Distribution of the Sample Proportion — Quiz

Question 2 • Math 4

A high school football quarterback has a lifetime pass completion rate of p is equal to 0 point 1 5 A random sample of 15 of his games is selected. Which is the best description of the shape for the sampling distribution of hat p ?

Answer
A
skewed right
B
uniformly distributed
C
skewed left
D
approximately Normal

Explanation

The sample proportion is based on 15 games, with an expected 15(0.15) = 2.25 completions in the sample. Since the success rate is low and the expected number of completions is small, the sampling distribution is not approximately Normal; it has a longer tail toward larger proportions. The best description is skewed right.

AI-written and checked against the verified answer.

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