Suppose 40% of the population possess a given characteristic.If a random sample of size 300 is drawn from the population, then the probability that 44% or fewer of the samples possess the characteristic is ___.
A)0.0793
B)0.4207
C)0.9207
D)0.9900
E)1.0000

Question

Quizplus · Accepted Answer

The sample proportion follows a normal distribution with mean 0.4 and standard deviation sqrt((0.4)(0.6)/300). Using the normal distribution, the probability that the sample proportion is 0.44 or less is approximately 0.9207.

Suppose 40% of the Population Possess a Given Characteristic