It is known that the true proportion of units in a very large population that have a particular characteristic is 0. A simple random sample of size n...

It is known that the true proportion of units in a very large population that have a particular characteristic is 0.45. A simple random sample of size n = 500 is to be selected from the population. What is the probability that the sample proportion, , will be within ± 3 percentage points of the true p, i.e., Pr{0.42 ≤ ≤ 0.48}?