A random sample of size 100 is taken from a population described by the proportion p = 0.60.The probability that the sample proportion is less than 0.55 is _______.
A) ≈ 0
B) 0.1539
C) 0.3669
D) 0.8461

Question

Quizplus · Accepted Answer

The sample proportion follows a normal distribution with mean 0.60 and standard deviation sqrt((0.60)(0.40)/100) = 0.049. Using the standard normal distribution, the probability that the sample proportion is less than 0.55 is approximately 0.1539.

A Random Sample of Size 100 Is Taken from a Population