Construct a confidence interval for $p_1-p_2$ at the given level of confidence.
$x_1=399$, $n_1=518$, $x_2=409$, $n_2=579$, 95% confidence
The researchers are % confident the difference between the two population proportions, $p_1-p_2$, is between and .
(Use ascending order. Type an integer or decimal rounded to three decimal places as needed.)