## Chapter 9 - Day 8 - Lesson 9.3

##### Learning Targets
• Interpret the power of a significance test and describe what factors affect the power of a test.

##### Activity: How Powerful is EKHS Math?

Of course TheStatsMedics think that the average SAT math score at East Kentwood High School is better than the national average. So we are going to take a random sample of 8 students to collect some evidence for our claim. We will then use this sample to perform a significance test. Students use this context and this applet to understand the interpretation of power and the factors that can increase power.

##### Increasing Power

Hopefully students will discover the three factors that can increase the power of a significance test.

1. Increasing the sample size

2. Increase the alpha level

3. Increasing the difference between the null and alternative hypothesis values

Try to get students to master these concepts rather than memorize the list. They need a good fundamental understanding of why each of these changes would increase the power. Here are the short reasons why: