A Gallup survey of 1001 randomly selected U.S. adults conducted May 2011 asked, “In your opinion, which one of the following is the main reason why students get education beyond high school?” Fifty three percent chose “to earn more money.” Based on these data, I found the 95% confidence interval for the proportion of U.S. adults who choose “to earn more money” to be (0.499, 0.561). Which of the following is a valid statement?
A. A 99% confidence interval based on the same data would be narrower.
B. A 99% confidence interval based on the same data would be wider.
C. A 99% confidence interval based on the same data would have the same width as the 95% confidence interval.