Approval Rating for Congress In a Gallup poll  conducted in December 2015, a random sample of \(n=824\) American adults were asked "Do you approve or disapprove of the way Congress is handling its job?" The proportion who said they approve is \(\hat{p}=0.13\), and a \(95 \%\) confidence interval for Congressional job approval is 0.107 to 0.153 . If we use a \(5 \%\) significance level, what is the conclusion if we are:

(a) Testing to see if there is evidence that the job approval rating is different than \(14 \%\). (This happens to be the average sample approval rating from the six months prior to this poll.)

(b) Testing to see if there is evidence that the job approval rating is different than \(9 \%\). (This happens to be the lowest sample Congressional approval rating Gallup ever recorded through the time of the poll.)