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QuizMultiple Choice

Sampling Distribution of the Sample Proportion — Quiz

Question 1 • Math 4

The proportion of twins born in a town is p is equal to 0 point 1 2 Suppose we randomly select 100 women from this town who give birth in the next year. Which is the best description of the shape for the sampling distribution of hat p ?

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

Explanation

For the sampling distribution of the sample proportion, check whether both expected counts are large enough: np = 100(0.12) = 12 and n(1 − p) = 100(0.88) = 88. Both are at least 10, so the sampling distribution of p-hat is approximately Normal. The best description is “approximately Normal.”

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