Claire Lewis is running for mayor in her local town for the first time. The town
ID: 3338972 • Letter: C
Question
Claire Lewis is running for mayor in her local town for the first time. The town’s newspaper reports that a recent random sample showed that 180 out of 350 town residents support her. The 95% confidence interval for the proportion of town residents that support her is (0.4619, 0.5667). Claire’s biggest opponent, Scott Allen, releases a statement and says, “This race is not over yet. Claire Lewis is leading in the polls, but her lead is too slight to really know that a majority of the voters in this town support her.” Do you agree or disagree with Scott’s statement?
A. Agree – Only 350 people in town were sampled. You need a larger sample to determine who will win.
B. Agree – It is possible that only 46% of the town support Claire, so we cannot say that she has a majority of the vote.
C. Disagree – Since 180 of the 350 residents said they support her, Claire Lewis has 51% of the town’s support for mayor, which is a majority. She will win.
D. Disagree – It is possible that nearly 57% of the town’s residents support Claire, which is a majority.
Explanation / Answer
Option-C is the correct answer.