# 5.7 - Lesson 5 Summary

## Objectives

Upon completion of this lesson, you should be able to:

• Identify and write null and alternative hypotheses.
• Describe randomization procedures.
• Determine p-values using randomization methods in StatKey and Minitab Express.
• Interpret p-values.
• Make conclusions on the basis of a p-value.

Let's review the randomization test procedures that you learned in this lesson:

1. Determine what type of test you need to conduct and write the hypotheses
2. Construct a randomization distribution under the assumption that the null hypothesis is true
3. Use the randomization distribution to find the p-value
4. Decide if you should reject or fail to reject the null hypothesis (see below)
5. State a real-world conclusion in relation to the original research question

If $$p>\alpha$$ then we fail to reject the null hypothesis and there is not evidence to support the alternative hypothesis. These results are said to be not statistically significant. If $$p \le \alpha$$ then we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis. These results are statistically significant. Unless otherwise stated, $$\alpha$$ of 0.05 should be used.

We will be using these same hypothesis testing steps in all of the remaining lessons.