Problem 4: Based on a study conducted by the Gallup organization, 76% of Americans believe that
the state of moral values in the United States is getting worse. Suppose we take random samples of
100 Americans and determine which believe that the state of the moral values in the United States is
getting worse.
A) (4 points) What is the mean and the standard deviation of the sampling distribution of the
sample proportion of Americans who believe that the state of moral values in the United States
is getting worse?
B) (5 points) What is the probability that a random sample of 100 Americans has a sample pro
portion less than 70% of people who believe that the state of moral values int eh United States
is getting worse? Round answer to 4 decimal places. You do not need to draw a graph