A candy company claims that its jelly bean mix contains 24% blue jelly beans.Suppose that the candies are packaged at random in small bags containing about 450 jelly beans.Describe the sampling distribution model of the proportion of blue jelly beans in a bag.
A)N(24%,0.9%)
B)N(24%,2.0%)
C)N(76%,2.0%)
D)Binom(450,24%)
E)There is not enough information to describe the distribution.

Question

Quizplus · Accepted Answer

The sampling distribution of the proportion of blue jelly beans is approximately normal with mean equal to the population proportion (24%) and standard deviation calculated using the formula for the standard deviation of a sample proportion: sqrt(p(1-p)/n), where p is 0.24 and n is 450, resulting in approximately 2.0%.

A Candy Company Claims That Its Jelly Bean Mix Contains