According to the 2011 Gallup daily tracking polls (www.gallup.com,February 3,2012),Mississippi is the most conservative U.S.state,with 53.4 percent of its residents identifying themselves as conservative. Refer to Exhibit 7-10.What is the probability that at least 50 respondents of a random sample of 100 Mississippi residents do NOT identify themselves as conservative?
A)0.0499
B)0.2483
C)0.4966
D)0.7517

Question

Quizplus · Accepted Answer

The probability that at least 50 respondents do not identify as conservative is the complement of the probability that fewer than 50 do not identify as conservative. Given that 53.4% identify as conservative, 46.6% do not. Using a binomial distribution with n=100 and p=0.466, the probability that at least 50 do not identify as conservative is approximately 0.2483.

According to the 2011 Gallup Daily Tracking Polls (Www