Question

what are the two decisions that you can make from performing a hypothesis test?
what are the two decisions that you can make from performing a hypothesis test? select all that apply.
a. accept the null hypothesis
b. make a type ii error
c. accept the alternative hypothesis
d. make a type i error
e. reject the null hypothesis
f. fail to reject the null hypothesis
g. fail to reject the alternative hypothesis
h. reject the alternative hypothesis

Explanation:

In hypothesis testing, the two main decisions are based on the null hypothesis. We can either reject the null hypothesis (when there is sufficient evidence against it) or fail to reject the null hypothesis (when there is not enough evidence to reject it). Options A and C are incorrect because we don't "accept" hypotheses in the strict sense of hypothesis testing; we only reject or fail to reject. Options B, D, G, and H are about errors or incorrect actions regarding the alternative hypothesis, which are not the two main decisions.

Answer:

E. reject the null hypothesis, F. fail to reject the null hypothesis