The following problems are based on a report, "Opposition to Nuclear Power Rises amid Japanese Crisis," by the Pew Research Center (March 21, 2011).

After the nuclear reactor accidents in Japan during the spring of 2011, there was a shift in public support for expanded use of nuclear power in the United States. A few monthsbeforethe accident, 47% of a random sample of 1,004 U.S. adults supported expanded use of nuclear power.Afterthe nuclear accident in Japan, 39% of a different random sample of 1,004 U.S. adults favored expanded use.

1. Find the 95% confidence interval for the change in public opinion after the nuclear accident in Japan. Interpret your interval in the context of this situation. (Make sure to check normality condition.)
2. Based on the interval which of the following is plausible:
3. The proportion of U.S. adults who supported expanding the use of nuclear power before the accident is the same as the proportion of U.S. adults who supported expanding the use of nuclear power after the accident.
4. The proportion of U.S. adults who supported expanding the use of nuclear power before the accident is larger than as the proportion of U.S. adults who supported expanding the use of nuclear power after the accident.
5. The proportion of U.S. adults who supported expanding the use of nuclear power before the accident is less than as the proportion of U.S. adults who supported expanding the use of nuclear power after the accident.