A poll conducted by Gallup in December 2013 asked a sample of American adults whether they approved of the way President Obama was doing his job; 42% said yes, with a margin of error of plus or minus 3 percentage points. During that same time period, Quinnipiac University asked the same question of a sample of American adults; 38% said yes, with a margin of error of plus or minus 2 percentage points. Can the conclusions of both polls be correct? Explain your answer.