Describe the sampling distribution of p. Round to three decimal places when necessary. N = 13,000, n = 400, p = 0.4 A. Exactly normal; Hp - 0.4, op =0.024 O B. Binomial; Hp - 160, op -9.798 O C. Approximately normal; Hp - 0.4, op = 0.136 O D. Approximately normal; Hp = 0.4, op =0.024 C W F3 F4 PrtSen F5 F6 F7 F8Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 2,000,000 and whose population proportion with a specified characteristic is p=0.22. Complete parts (a) through (c) below. . . . (a) Describe the sampling distribution of p. O A. Approximately normal, MA = 0.22 and or ~ 0.0131 O B. Approximately normal, HA = 0.22 and on ~ 0.0003 O C. Approximately normal, HA = 0.22 and on ~ 0.0002 (b) What is the probability of obtaining x = 240 or more individuals with the characteristic? P(x 2 240) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 180 or fewer individuals with the characteristic? P(x How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.49? The probability that more than 255 people voted for the referendum is D. (Round to tour decimal places as needed.) Comment on the dangers of using exit polling to call elections. Choose the correct answer below. Wir': O A- The result is not unusual because the probability thatp is equal to or more extreme than the sample proportion is greater than 5%. Thus. it is not unusual for a wrong call to be made in an election if exit polling alone is considered. 0 B' The result is unusual because the probability that S is equal to or more extreme than the sample proportion is greater than 5%. Thus, it is not unusual for a wrong call to be made in an election if exit polling alone is considered. 0 c' The result is unusual because the probability that p is equal to or more extreme than the sample proportion is less than 5%. Thus, it is unusual for a wrong call to be made in an election if exit polling alone is considered. 0 D' The result is not unusual because the probability that B is equal to or more extreme than the sample proportion is less than 5%. Thus, it is unusual for a wrong call to be made in an election if exit polling alone is considered. e A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 50 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 10% of all adult Americans support the changes (b) 15% of all adult Americans support the changes (a) The researcher must ask more American adults. (Round up to the nearest integer.) (b) The researcher must ask more American adults. (Round up to the nearest integer.)Submit test According to a study conducted in one city, 38% of adults in the city have credit card debts of more than $2000. A simple random sample of n = 200 adults is obtained from the ofty. Describe the sampling distribution of p, the sample proportion of adults who have credit card debts of more than $2000. Round to three decimal places when necessary. O A. Approximately normal; Hp = 0.38, op = 0.001 O B. Exactly normal; Mp = 0.38, op = 0.034 O C. Binomial; Hp = 76, op = 6.864 O D. Approximately normal; up = 0.38, 6. = 0.034