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At a certain university, 25% of students support the Green Party. Suppose we take samples of size 100 students and are interested in the population proportion of students who support the Green Part.

a. What is the mean of the sampling distribution of the (sample proportion) (p^ )?

b. What is the standard deviation of the (p^ )?

c. Describe the sampling distribution of (p^ )

d. Find the probability that that the sample mean proportion supporting the Green Party exceeds 0.30.

e. Find the 95th percentile of sampling proportions

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