91Ó°ÊÓ

According to a Gallup poll, $42\%$of American adults approve of the way President Obama is handling his job (with a margin of error of plus or minus $3\%$points).

According to a second poll taken by Quinnipiac University, $38\%$ of American adults approved of President Obama's job performance (with a margin of error of plus or minus $2\%$ points).

Assume that both surveys utilized a confidence level of $95\%$. As a result, both polls give the percentage/proportion of American adults who believe President Obama is performing his job correctly at a $95\%$confidence level.

According to the information provided,

The Gallup poll's confidence interval is $39\%\text{to}45\%(42Â\pm 3)$.

Quinnipiac University's confidence interval is $36\%\text{to}40\%(38Â\pm 2)$.

It should be emphasized that both polls give common believable results ranging from$39\%$to$40\%$.