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.)