Question

Every time you conduct a hypothesis test, there are four possible outcomes of your decision to reject or not reject the null hypothesis?

Answer 1

In hypothesis testing, there are four possible outcomes of your decision to reject or not reject the null hypothesis: correct decision, Type I error, Type II error, and Power of the Test.

Step-by-step explanation:

In hypothesis testing, there are four possible outcomes of your decision to reject or not reject the null hypothesis:

1. The decision is not to reject the null hypothesis when the null hypothesis is true (correct decision).
2. The decision is to reject the null hypothesis when, in fact, the null hypothesis is true (incorrect decision known as a Type I error).
3. The decision is not to reject the null hypothesis when, in fact, the null hypothesis is false (incorrect decision known as a Type II error).
4. The decision is to reject the null hypothesis when the null hypothesis is false (correct decision, which is called the Power of the Test).

Each of these outcomes occurs with a particular probability. The probability of a Type I error is usually denoted by alpha (α), and it represents the probability of rejecting the null hypothesis when the null hypothesis is true.