A 95% confidence interval for p, the true proportion of all shoppers at a large grocery store who purchase 2% milk, was found to be (0.436, 0.582). Given that all conditions were met, which of the following is the most appropriate conclusion?

A) 99% confidence interval will always be exactly 1/2 wide as 95% confidence interval
B) The 99% confidence interval will be narrower
C) The 99% interval will be wider
D) The intervals will have the same width
E) A 99%confidence interval will always be exactly twice as wide as a 95% confidence interval