Hypothesis Testing

12Math39 min

Learning Objective

I can perform a hypothesis test to evaluate a claim about a population.

Lesson Flow

Watch Video

8 min

Guided Notes

8 min

Key concepts students will learn:

  • The null hypothesis states that a change has no effect, while the alternative hypothesis suggests the change does have an effect.

  • The p-value is the probability of obtaining a statistic at least as far from the mean as the one observed, assuming the null hypothesis is true.

  • If the p-value is less than the significance level (alpha), you reject the null hypothesis and have evidence for the alternative hypothesis.

Practice

12 min

6 questions • Multiple choice & Short answer

Exit Ticket

5 min

A company claims that the average lifespan of their lightbulbs is 1000 hours. You suspect the lifespan is actually less than that. You take a sample of 64 lightbulbs and find the sample mean lifespan is 950 hours. You calculate a p-value of 0.02. If your significance level (α) is 0.05, what is your conclusion regarding the company's claim? Explain your reasoning.

Teacher Guide

Get the complete package:

  • Answer keys for all questions
  • Differentiation strategies
  • Extension activities
  • Printable student handouts