Module 13: Background You’ll Need 5

  • Complete a hypothesis test for comparing two means

Hypothesis Testing for Means

Steps for Hypothesis Testing

  1. Write out the null and alternative hypotheses.
  2. Check the conditions for the hypothesis test.
  3. Calculate a test statistic.
  4. Calculate a P-value.
  5. Compare the P-value to the significance level, [latex]\alpha[/latex], to make a decision.
    Decision Conclusion
    If P-value [latex]\le\alpha[/latex], there is enough evidence to reject the null hypothesis. At the [latex]\alpha\times[/latex]100% significance level, the data provide convincing evidence in support of the alternative hypothesis.
    If P-value [latex]\gt\alpha[/latex], there is not enough evidence to reject the null hypothesis. At the [latex]\alpha\times[/latex]100% significance level, the data do not provide convincing evidence in support of the alternative hypothesis.
  6. Write a conclusion in context (e.g., we do/do not have convincing evidence…).