One:

Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 1,500,000 and whose population proportion with a specied characteristic is p = 0.72. Complete parts (a) through (c) below. (a) Describe the sampling distribution of E. O A. Approximately normal, \"3 = 0.72 and 63 w 0.0142 0 B. Approximately normal, \"3 = 0.72 and 6|; a: 0.0002 0 C. Approximately normal, \"3 = 0.72 and as w 0.0004 (b) What is the probability of obtaining x = 760 or more individuals with the characteristic? P(x 2 760) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 690 or fewer individuals with the characteristic? P(x 5 690) = (Round to four decimal places as needed.) Exit polling is a popular technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education is on the ballot in a large town (voting population over 100,000). An exit poll of 500 voters nds that 245 voted for the referendum. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51? Based on your result, comment on the dangers of using exit polling to call elections. How likely are the results of your sample if the population proportion of voters in the town in favor of the referendum is 0.51? The probability that fewer than 245 people voted for the referendum is (Round to four decimal places as needed.) Comment on the dangers of using exit polling to call elections. Choose the oorrect answer below. 0 A- The result is not unusual because the probability that B 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 3- The result is 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. 0 c- The result is unusual because the probabili that B is equal to or more extreme than the sample proportion is reater than 5%. Thus, it is not unusual for a wron call to be made in an election if exit pollin alone is considered. 9 9 9 O 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. A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 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.)