In a certain population. the proportion having a certain characteristic is 32%. Suppose a sample of size 200 is randomly selected and the sample proportion. p . is computed. a. Under what condition can we assume that the distribution of the sample proportion is approximately normal? Verify that this condition is met in this case. Show the calculation involved. (2 pts.) b. What is the value of #15 ? (2 pts.) c. What is the value of ai' ? (3 pts.) Round to 4 decimal places. Show all work. d. What is the probability that the sample proportion in a sample of 200 is 28% or less? (8 pts.) include a sketch of the distribution. show the middle value and the boundary value. with appropriate shading. Show all work