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 the plus four estimate of the proportion of green M&M's?
A) = 0.1724
B) = 0.2
C) = 0.222
D) = 0.2414

Question

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 the plus four estimate of the proportion of green M&M's?
A) = 0.1724 
B) = 0.2 
C) = 0.222 
D) = 0.2414

Quizplus · Accepted Answer

The plus four estimate formula is (x+2)/(n+4), where x is the number of successes (green M&M's) and n is the sample size (25). Plugging in the values, we get (5+2)/(25+4) which simplifies to 0.2414. Therefore, the best choice is D.

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