Question: NIMBY. In March 2007, the Gallup Poll split a sample of 1003 randomly selected U.S. adults into two groups at random. Half of the respondents were asked, "Overall, do you strongly favor, somewhat favor, somewhat oppose, or strongly oppose the use of nuclear energy as one of the ways to provide electricity for the U.S.?" They found that 53% were either "somewhat" or "strongly" in favor. The other half were asked, "Overall, would you strongly favor, somewhat favor, somewhat oppose, or strongly oppose the construction of a nuclear energy plant in your area as one of the ways to provide electricity for the U.S.?"
Only 40% were somewhat or strongly in favor. This difference is an example of the NIMBY (Not In My BackYard) phenomenon and is a serious concern to policy makers and planners. How large is the difference between the proportion of American adults who think nuclear energy is a good idea and the proportion who would be willing to have a nuclear plant in their area? Construct and interpret an appropriate confidence interval.