AnswersNC-Math 4Sampling Distribution of the Sample Proportion

Sampling Distribution of the Sample Proportion Answers

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A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample of 250 students was selected. Let = the proportion of students in the sample who claimed to work out at least 3 times a week.What is the shape of the sampling distribution of and why?

Question illustration
A
approximately Normal, because all sampling distributions are approximately Normal
B
approximately Normal, because we would expect at least 10 success and 10 failures
C
skewed to the right, because 0.31 is lower than 0.5
D
skewed to the left, because 0.31 is lower than 0.5
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difference in the two sample means ✔ difference in the two sample proportionssample meanssample proportions

A
difference in the two sample means
B
✔ difference in the two sample proportions
C
sample means
D
sample proportions
3

✔ typically varyvary exactly

A
✔ typically vary
B
vary exactly
4

means✔ proportions

A
means
B
✔ proportions

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