As a general rule,the normal distribution is used to approximate the sampling distribution of the sample proportion only if:
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 or equal to 5.

Question

Quizplus · Accepted Answer

The normal distribution can only be used to approximate the sampling distribution of the sample proportion if np and n(1-p) are both greater than or equal to 5. This ensures that there are enough observations in each category to make the approximation valid. Choice A is a commonly used guideline, but is not always necessary. Choice B is not relevant to the criteria for using the normal distribution. Choice C is also not a required condition for using the normal distribution, as the central limit theorem states that large enough sample sizes will result in approximately normal distributions regardless of the population distribution.

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