The financial crisis of 2008 highlighted the issue of excessive compensation for business CEOs. In a Gallup poll in the summer of 2009, 998 adults were asked, "Do you favor or oppose the federal government taking steps to limit the pay of executives at major companies?", with 59% responding in favor. The report of the poll noted a margin of error of ±3 percentage points. Verify the margin of error and construct a 95% confidence interval.