Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Hypothesis Tests

9-12

45 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™ Navigator™
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.2

## Meaning of Power

#### Activity Overview

In this lesson, samples are generated from a population for a particular hypothesis test, leading to the conjecture that the null hypothesis is actually false.

#### Objectives

• Students will describe power as the relative frequency of “reject the null” conclusions for a given hypothesis test.
• Students will recognize that when the null hypothesis is true, power is exactly the same as alpha.
• Students will recognize that if the null hypothesis is actually false, power measures the ability to detect an existing difference between truth and hypothesis.
• Students will describe how power is influenced (in predictable directions) by sample size, alpha, and difference between actual and hypothesized parameter values.

#### Vocabulary

• alpha level
• critical value
• power
• significance level
• type I error
• type II error