Question: The candy machine Suppose a large candy machine has 45% orange candies. Imagine taking an SRS of 25 candies from the machine and observing the sample proportion p^ of orange candies.
(a) What is the mean of the sampling distribution of p^? Why?
(b) Find the standard deviation of the sampling distribution of p^ . Check to see if the 10% condition is met.
(c) Is the sampling distribution of p^ approximately Normal? Check to see if the Large Counts condition is met.
(d) If the sample size were 100 rather than 25, how would this change the sampling distribution of p^?