It is known that the true proportion of units in a very large population that have a particular characteristic is 0.45.

It is known that the true proportion of units in a very large population that have a particular characteristic is OASAA simple random sample of size n = 500 is to be selected from the population. What is the probability that the sample proportion, p . will be within three percentage points of the true p, that is, P(0. 42 S ' S 0. 48) ? Give your answer to 4 decimal places