Suppose, nationwide, hilary clinton has approval rate of 48% and donald trump 44%. CNN conducted a poll regarding the approval rate of the two candidates where a random national sample of n=1213 likely voters were interviewed.
A) Suppose a new poll will also interview another 1213 randomly selected likely voters. What are the mean and standard deviation of the approval rate of clinton based on this new poll?
B) Is normal distribution reasonable as an approximation to the approval rate of clinton for the new poll?
C) Compute the probability that the new poll will show the approval rate of clinton is between 45% to 50%.