In 2011, when the Gallup organization polled investors, 32% rated gold the best long-term investment.  But in April of 2013 Gallup surveyed a random sample of U.S. adults.  Respondents were asked to select the best long-term investment from a list of possibilities.  Only 168 of the 650 respondents chose gold as the best long-term investment.  By contrast, only 83 chose bonds.

• Suppose we want to keep the margin of error at 4%, and we still want to construct a 99% confidence interval.  What is the necessary sample size?