A news program stated that one of the candidates for mayor of a certain city commissioned a popularity study to ascertain his chance of re-election. The report claimed that 55% of the voters randomly sampled in this study favored the mayor; it also detailed that there was a margin of error of 3% with 95% confidence. Which of the following best describe the meaning of this margin of error? a. There is a probability of 3% that the sample is based in favor of the mayor
b. There is a probability of 97% that 55% is the true value
c. It is likely that the true percentage of supporters for the mayor is within 1.96 x 3% of the 55%
d. it is likely that the true percentage of supporters for the mayor is within 3% of the 55%