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. make a type I error
C. reject the null hypothesis
E. fail to reject the alternative hypothesis
G. accept the alternative hypothesis
B. make a type II error
D. accept the null hypothesis
F. reject the alternative hypothesis
H. fail to reject the null hypothesis

Step 1 ：The two decisions that can be made from performing a hypothesis test are to either reject the null hypothesis or fail to reject the null hypothesis. These decisions are based on the p-value obtained from the test. If the p-value is less than the significance level (usually 0.05), we reject the null hypothesis. If the p-value is greater than the significance level, we fail to reject the null hypothesis.

Step 2 ：The other options listed are not decisions, but potential errors that can occur in hypothesis testing. A type I error occurs when the null hypothesis is true, but is rejected. A type II error occurs when the null hypothesis is false, but is not rejected.

Step 3 ：Final Answer: The two decisions that can be made from performing a hypothesis test are \(\boxed{C. reject the null hypothesis}\) and \(\boxed{H. fail to reject the null hypothesis}\).