2. A CNN poll asked a random sample of 1500 US high schoolers if they wash their hands after using the restroom. Define p(hat) as the proportion of high school students who do not wash their hands after using the restroom. Suppose that the proportion of all high schooler that do not wash their hands after using the restroom is 48%. a. What is the mean of the sampling distribution p(hat)?

b. Find the standard deviation of p(hat). Make sure the 10% condition is met. (n≤1/10N)

c. Is the sampling distribution approximately Normal? Make sure the Large Counts Condition is met.