• Complete a one-sample [latex]t[/latex]-test for means from hypotheses to conclusions.

Hypothesis Testing about Weekly Work Hours

Let’s review the steps for hypothesis testing and see if we would be able to apply them to a one-sample hypothesis test for means (one-sample [latex]t[/latex]-test).

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…).