The Candy Company That Makes M&M's Claims That 10% of the M&M's

Multiple Choice

The candy company that makes M&M's claims that 10% of the M&M's it produces are green.Suppose that the candies are packaged at random,and the small bags contain 25 M&M's.When we randomly pick a bag of M&M's,we may assume that this represents a simple random sample of size n = 25.Suppose that in a randomly selected small bag of M&M's,there are 5 green M&M's.What is a 99% plus four confidence interval for p,the population proportion of green M&M's?

A) (0,0.4061)
B) (0.0161,0.4283)
C) (0.0367,0.4461)
D) (0.0856,0.3971)