To assess attitudes towards issues that affect the residents of a village, the village randomly chose 800 families to participate in a survey of life attitudes. The village received 628 completed surveys. What is the sample proportion of completed surveys? . . . O A. 0.785 O B. 0.886 O C. 1.274 O D. 0.628A national caterer determined that 87% of the people who sampled their food said that it was delicious. A random sample of 144 people is obtained from a population of 5000. The 144 people are asked to sample the caterer's food. If p is the sample proportion saying that the food is delicious, what is the mean of the sampling distribution of p? O A. 1.25 O B. 0.19 O C. 0.87 O D. 0.42According to a study conducted in one city, 26% of adults in the city have credit card debts of more than $2000. A simple random sample of n = 500 adults is obtained from the city, Describe the sampling distribution of p, the sample proportion of adults who have credit card debts of more than $2000. Round to three decimal places when necessary. O A. Approximately normal; Hp = 0.26, op = 0.020 O B. Approximately normal; Hp = 0.26, op = 0.000 O C. Exactly normal; Hp = 0.26, op = 0.020 O D. Binomial; Hp = 130, op =9.808Describe the sampling distribution of p. Assume the size of the population is 30,000. n = 600, p = 0.1 . . . Choose the phrase that best describes the shape of the sampling distribution of p below. O A. Not normal because n s 0.05N and np( 1 - p) 10. Determine the mean of the sampling distribution of p. HA = (Round to one decimal place as needed.) Determine the standard deviation of the sampling distribution of p. On = p (Round to three decimal places as needed.)Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N = 1,500,000 and whose population proportion with a specified characteristic is p = 0.56. Complete parts (a) through (c) below. . . . (a) Describe the sampling distribution of p. O A. Approximately normal, A = 0.56 and on ~ 0.0002 O B. Approximately normal, MA = 0.56 and or ~ 0.0157 O C. Approximately normal, JA = 0.56 and on ~ 0.0004 (b) What is the probability of obtaining x = 590 or more individuals with the characteristic? P(x2590) = (Round to four decimal places as needed.) (c) What is the probability of obtaining x = 520 or fewer individuals with the characteristic? P(x$ 520)= (Round to four decimal places as needed.)ar technique used to determine the outcome of an election prior to results being tallied. Suppose a referendum to increase funding for education in on the 00). An exit poll of 500 voters nds that 240 voted for the referendum How likely are the results of your sample it the mutton endum is 0.51? Based on your result, comment on the dangers of using exit polling to call elections. \": Exit polling is a popul . . ballot in a large town (voting population over 100,0 proportion of voters in the town in favor of the refer ' C:) 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 240 people voted for the referendum is 1:1. (Round to tour decimal places as needed.) '\\ Comment on the dangers of using exit polling to call elections. Choose the correct answer below. 0 A' 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 ' l l \\ an election if exit polling alone is considered. i O B- 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. l O c' The result is not unusual because the probability that 6 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 D' The result is unusual because the probability that p 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 it 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) 20% of all adult Americans support the changes (b) 25% 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.)