Do Americans believe that the United States has a unique character that makes it the greatest country in the world? Th is belief has been called “American exceptionalism.” A Gallup poll conducted on December 10–12, 2010, asked this question of a sample of 1,019 adult Americans, with 80% responding that they do believe that the U.S. has a unique character that makes it the greatest country in the world.
a. Use the Theory-Based Inference applet to determine a 95% confidence interval based on this sample result. Also interpret what this interval says.
b. Would you expect values within this interval to be rejected by a two-sided significance test at the 0.05 significance level or not to be rejected by such a test? Explain.