n a NPR/PBS NewsHour/Marist poll last year, questions on the President's job approval were asked to adults across the US. In addition to collecting this information, the pollsters also collected...

n a NPR/PBS NewsHour/Marist poll last year, questions on the President's job approval were asked to adults across the US.  In addition to collecting this information, the pollsters also collected information on the demographics of the individuals being polled.  Specifically, political party and gender.

Among Independents, they found 165 of 300 males and 149 of 275 females approve of the President's job performance.

Compute the 99% confidence interval about the true difference between proportions of Independent males and Independent females that approve of the President's job.

What is the lower bound of the confidence interval?   (three decimals)

What is the upper bound of the confidence interval?   (three decimals)