7) President’s job approval rating is frequently reported in news programs. You will hear statements such as: “Among likely voters, the President’s job approval rating is 46% with a margin of error of 6%.”
a) What percent confidence interval do you think they are reporting?
b) How do you explain the 6% margin of error to someone who is not mathematically trained? In other words, how do you explain it in plain English?
c) Someone claims that although the confidence interval is , the probability that the president is favored by the majority of likely voters is low because 50% to 52% portion is only 1/6 of the whole interval. Do you agree with this statement? Explain!