14. According to the Quinnipiac poll of 4/15/21, 29% of adults between 18-34 feel the economy is getting worse. Round probabilities to four decimal places and proportions to three decimal places.

a. Show that the Central Limit Theorem of Proportions applies to the sampling distribution of proportions of samples of 300 adults between 18-34. Provide proof.

b. Describe the sampling distribution of proportions of samples of 300 adults between 18-34.

c. Find the probability that the proportion that feel the economy is getting worse in a sample of 300 adults between 18-34 is between 25% and 30%