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AssignmentMultiple Choice
Sampling Distribution of the Sample Proportion
Question 1 • NC-Math 4
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?
Answer
A
approximately Normal, because all sampling distributions are approximately NormalB
approximately Normal, because we would expect at least 10 success and 10 failuresC
skewed to the right, because 0.31 is lower than 0.5D
skewed to the left, because 0.31 is lower than 0.5