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(1 - P) 5.

Question

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(1 - P)> 5.

Quizplus · Accepted Answer

The normal distribution can be used to approximate the sampling distribution of the sample proportion if the sample size is sufficiently large and np(1-p) > 5. This ensures that the sample proportion is approximately normally distributed. The other options (A, B, and C) do not necessarily ensure that the normal approximation is appropriate.

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