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 a = 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?
O approximately Normal, because all sampling distributions are approximately Normal
o approximately Normal, because we would expect at least 10 success and 10 failures
O skewed to the right, because 0.31 is lower than 0.5
O skewed to the left, because 0.31 is lower than 0.5