In September 2011, Gallup surveyed 1,004 American adults and asked them whether they blamed Barack Obama a great deal, a moderate amount, not much, or not at all for U. S. economic problems. The results showed that 53% of respondents blamed Barack Obama a great deal or a moderate amount. (a) Calculate the 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U. S. economic problems.

(b) Does the confidence interval indicate that a majority of all American adults blame Barack Obama a great deal or a moderate amount for U. S. economic problems?

a) Yes, because the entire interval is above 0.5.

b) Yes, because 53% is a majority.

c) No, because a sample of 1004 adults can’t tell us about the entire population.

d) No, because the interval extends below 0.5, meaning that it is reasonably possible that a minority of all American adults feel this way.