Days before a presidential election, a nationwide random sample of registered voters was taken. Based on this random sample, it was reported that "52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus3%." The margin of error was based on a 95% confidence level. Can we say with 95% confidence that Robert Smith will win the election if he needs a simple majority of votes to win?
Accepted Solution
A:
Answer:D. No, because 50% is within the bounds of the confidence interval.Step-by-step explanation:"52% of registered voters plan on voting for Robert Smith with a margin of error of plus or minus±3%"This means that the 95% confidence interval for the percentage of people that plan on voting for Robert Smith is(52-3 = 49%, 52+3 = 55%).We can't say that he will win the election, because at the 95% confidence level, the proportion is not guaranteed to be above 50%.So the correct answer is:D. No, because 50% is within the bounds of the confidence interval.