The company claims that 52% (p = 0.52) of the Reese’s pieces are orange. One student took a sample of 30 and got 12 orange candies ( 40 . 0 ˆ  p ). Assume the company’s claim is true. 6. Let p ˆ = the proportion of orange candies in a sample of 30.

a. Calculate the mean and standard deviation of the sampling distribution of p ˆ.
b. Interpret the standard deviation in context.
c. What is the shape of the sampling distribution of p ˆ. Justify.
d. What is the probability that a sample of 30 Reese’s pieces would have a sample proportion, p ˆ, of 0.40 or less orange candies? Show work.