Construct a confidence interval for $P_1-P_2$ at the given level of confidence.
$x_1=27$, $n_1=251$, $x_2=36$, $n_2=289$, 99% confidence
The researchers are ā % confident the difference between the two population proportions, $p_1-p_2$, is between ā and ā.
(Use ascending order. Type an integer or decimal rounded to three decimal places as needed.)