Under what conditions is it permissible to proceed with a hypothesis test even though the assumption that the population distribution is approximately normal is violated?
A) We are cautious about generalizing the results.
B) The sample size is greater than 30.
C) The data are not clearly ratio.
D) The data are not clearly nominal or ordinal.

Question

Quizplus · Accepted Answer

When the sample size is greater than 30, it is generally safe to proceed with a hypothesis test even if the assumption of normality is violated. This is because of the central limit theorem, which states that as the sample size increases, the sampling distribution of the sample mean becomes approximately normal regardless of the shape of the population distribution.

Under What Conditions Is It Permissible to Proceed with a Hypothesis