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 or equal to 30.
B) the population proportionis $\pi$ close to 0.50.
C) the underlying population is normal.
D) n$\pi$ and n(1-$\pi$) 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 both nπ and n(1-π) are greater than or equal to 5. This ensures that there are enough observations in each category (successes and failures) to justify the use of the normal approximation. The other options (A, B, and C) are not sufficient on their own to justify the use of the normal approximation.

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

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