Each month the Gallup organization conducts a poll for CNN and USA Today of the U.S. president’s current popularity rating (see www.pollingreport.com). For a poll conducted February 2–3, 2011, of approximately 1500 Americans, it was reported, “45% of people polled said they approve of how Obama is handling the presidency. The margin of error is plus or minus 3 percentage points.” Explain how this margin of error provides an inferential statistical analysis.