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

3.0

## Type 2 Error

#### Activity Overview

This activity allows students to experiment with different alpha levels and alternative hypotheses to investigate the relationship among types of error and power.

#### Objectives

• Students will recognize that increasing the probability of a Type I error decreases the probability of a Type II error and vice versa.
• Students will recognize that the sum of the probability of a Type II error and power is 1.
• Students will recognize that as the effect size—the difference between the null hypothesized value and the truth—increases, the power increases (it is easier to see the effect).
• Students will recognize that increasing the sample size decreases the probability of Type I and Type II errors and increases the power.
• Students will recognize that decreasing the standard deviation decreases the probability of Type I and Type II errors and increases the power.