# Activities

• • • ##### Subject Area

• Math: Statistics: Hypothesis Tests

• ##### Author 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

• ##### Report an Issue

What is a p-value?

#### Activity Overview

This lesson involves beginning with a null hypothesis specifying the mean of a normally distributed population with a given standard deviation.

#### Objectives

• Students will recognize that a p-value only has meaning if the null hypothesis is true (a conditional probability).
• Students will interpret a p-value in given contexts as the relative frequency for sample statistic values at least as extreme as that from the observed sample, assuming that the null hypothesis is true.
• Students will recognize the relationship between sample size and p-values: in general, for sample means giving p-values less than 0.5, increasing the sample size decreases the p-value.

#### Vocabulary

• alpha value
• population
• relative frequency
• sample mean
• sample size
• sample standard deviation
• sampling distribution