An executive for a large (400,000 subscribers) news magazine would like to estimate what proportion of the magazine's subscribers own their own home. A random sample of 800 subscribers was taken, and of these 500 own their own homes. Construct a 99% confidence interval for the proportion of the magazine's subscribers who own their own home. (0.60, 0.65) (0.58, 0.67) (0.50, 0.75) (0.00116, 0.00134) (0.85, 0.95)