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a. Find E (p) E(p) = (Round to two decimal places as needed.) b. Find GA. on = (Round to four decimal places as needed.) c. What does the Central Limit Theorem say about the shape of the sampling distribution of p? O A. The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean. O B. The Central limit Thenrem save that as the sample size amws lame the sampling distribution of n will hernme annmyimatelv normal According to a dental association, 63% of all dentists use nitrous oxide (laughing gas) in their practice. In a random sample of 500 dentists, let p represent the proportion who use laughing gas in practice. Complete parts a through d below. c. What does the Central Limit Theorem say about the shape of the sampling distribution of p? A. The Central Limit Theorem does not say anything about the sampling distribution of p because it is not a population mean. B. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will become approximately normal. O C. The Central Limit Theorem says that as the sample size grows large, the sampling distribution of p will approach the population distribution. D. The Central Limit Theorem says that the shape of the sampling distribution of p is completely determined by the population parameter p. d. Find P (p > 0.45). P (p>0.45) = (Round to three decimal places as needed.)According to a dental association, 70% of all dentists use nitrous oxide (laughing gas) in their practice. In a random sample of 1,500 dentists, letp represent the proportion who use laughing gas in practice. Complete parts a through d below. a. Find E63). E (E) = (Round to two decimal places as needed.)