Question

3 Question Help O 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 finds that 255 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 0.49? 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 0.49? The probability that more than 255 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 correct answer below. O A. The result is unusual because the probability that ő 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. OB. 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 if exit polling alone is considered. OC. The result is not unusual because the probability that 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. OD. The result is not 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 if exit polling alone is considered.

Answer 1

Heren We have p=0.49 n. 500 Mean (4) = N*P = 500 * 0.49 245 Standard deviation = n*p* (1-P) ✓ 500*10.49) *11-049) = 11.1781 The probability that more than 255 people voted for the auferendum es P[X> 255) = P1 x > 255-5)/using contin wity correction) PL Kody », 256,5-245 EP122, 0.94) E1- P1Z50.94) 21-0.826391 (from standard normal Calculator = 0.173609 - 10:1736) Round ho 4de cimal Places o The result is not un wual because the probability that is equal to or more ertume than the sample Proportion is greater than 5 y. mus, it is net unusual for a wrong call to be made in on elechon is exit polling alone is considered