1) In a recent poll, the Gallup organization found that 45% ofadult Americans believe that the overall state of moral values inthe United States is poor. Suppose a survey of a random sample of25 adult Americans is conducted in which they are asked to disclosetheir feelings on the overall state of moral values in the UnitedStates. Answer the questions below, showing work. Bare answers arenot acceptable. (Showing work means writing the calculator commandyou used with correct input values in the correct order.)

f) Would it be unusual to find 20 or more adult Americans whobelieve the overall state of moral values in the United States ispoor? Why or why not?

g) Now based on a random sample of 500 adult Americans, computethe mean and standard deviation of the random variable X, thenumber of adults who believe the overall state of moral values inthe United States is poor. Interpret the mean.

h) Would it be unusual to identify 240 adult Americans whobelieve the overall state of moral values in the United States ispoor, based on a random sample of 500 adult Americans? Why? Nowusing the Normal Approximation to the Binomial, approximate theprobability that:

i) Exactly 250 of those surveyed feel the overall state of moralvalues in the United States is poor.

j) Between 220 and 250, inclusive, of those surveyed feel theoverall state of moral values in the United States is poor.

k) At least 260 adult Americans who believe the overall state ofmoral values in the United States is poor, based on a random sampleof 500 adult Americans. Would this be unusual? Why?