To conduct a test of hypothesis with a small sample, we need to be able to make an assumption that:
A) a larger computed value of t will be needed to reject the null hypothesis.
B) the region of acceptance will be wider than for large samples.
C) the confidence interval will be wider than for large samples.
D) the population is normally distributed.

Question

Quizplus · Accepted Answer

A test of hypothesis with a small sample usually assumes that the population is normally distributed, as this allows for the use of t-distribution instead of the standard normal distribution. This assumption is important to ensure the validity of the test results. However, the size of the sample does not necessarily affect the width of the region of acceptance or the confidence interval. Additionally, the computed value of t needed to reject the null hypothesis depends on the level of significance and the degrees of freedom, and is not related to the sample size.

To Conduct a Test of Hypothesis with a Small Sample