To conduct a test of hypothesis with a small sample, we need to be able to make the following 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

The assumption that the population is normally distributed is necessary for conducting hypothesis testing with small samples. This is because tests of hypothesis rely on assumptions about the underlying distribution of the population. If the distribution is not normal, then the results of the test may not be accurate or reliable. Therefore, to conduct a test of hypothesis with a small sample, it is important to verify that the population follows a normal distribution or use a test that does not require this assumption. The other choices mentioned (A, B, and C) are not necessarily true for small samples and may depend on other factors such as the sample size, level of significance, and variability of the data.

To Conduct a Test of Hypothesis with a Small Sample