Suppose 40% of the population of pre-teens have a TV in their bedroom. If a random sample of 500 pre-teens is drawn from the population, then the probability that 44% or fewer of the pre-teens have a TV in their bedroom is ___.
A) 0.9644
B) 0.4644
C) 0.0356
D) 0.0400
E) 0.9600

Question

Quizplus · Accepted Answer

The sample proportion follows a normal distribution with mean 0.40 and standard deviation sqrt((0.40)(0.60)/500). Using the normal distribution, the probability that 44% or fewer have a TV is approximately 0.9644.

Suppose 40% of the Population of Pre-Teens Have a TV