Asked by nolene crabtree on Sep 28, 2024

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.

Normal Distribution

The distribution is symmetric relative to the mean, with a notable prevalence of data points in close proximity to the mean compared to those farther away.

Sample Proportion

The fraction of the sample that exhibits a certain trait or characteristic.

  • Determine the specific conditions that allow for the use of the normal distribution as a substitute for the binomial distribution.