Suppose 47% of the population has a college degree. If a random sample of size 501 is selected, what is the probability that the proportion of persons with a college degree will differ from the...

Suppose 47% of the population has a college degree.

If a random sample of size 501 is selected, what is the probability that the proportion of persons with a college degree will differ from the population proportion by less than 6%? Round your answer to four decimal places.