Suppose that we will randomly select a sample of n 100 elements from a population and that we will compute the sample proportion p ˆ of these elements that fall into a category of interest. If the true population proportion p equals .9:
a. Describe the shape of the sampling distribution of p. Why can we validly describe the shape?
b. Find the mean and the standard deviation of the sampling distribution of p.
c. Find P (p ≥.96)
d. Find P (. 855≤ p ˆ≤ .945)
e. Find P (p≤ .915))