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 \(\boxed{H. fail to reject the null hypothesis}\).