As a general rule, the normal distribution is used to approximate the sampling distribution of the sample proportion only if which of the following conditions holds?
A) The sample size n is greater than 30.
B) The population proportion p is close to 0.50.
C) The underlying population is normal.
D) np and n(1 - p) are both greater than 5.

Question

Quizplus · Accepted Answer

The normal distribution can be used to approximate the sampling distribution of the sample proportion if np and n(1-p) are both greater than 5. This ensures that the sample size is large enough to provide a good approximation of the normal distribution. The other conditions listed are not necessary for using the normal approximation.

As a General Rule, the Normal Distribution Is Used to Approximate