Section 6.2:

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Section 10.2:

4ac

Use Minitab for the following problems:

1. Enter the data (counts and expected proportions) into the cells of a Minitab Worksheet.
2. Use Minitab's "Stat > Tables > Chi-Square Goodness-of-Fit Test (One Variable)" option to perform the \(\chi^{2}\) goodness-of-fit test.
3. Print the Minitab session window.
4. Annotate the printout by adding the null and alternative hypotheses.
5. Add a sketch of the density histogram for the \(\chi^{2}\) distribution when the null hypothesis is true. Use the Desmos demo we used in class to determine the shape of the density histogram with the appropriate degrees of freedom. Hint: You can change the horizontal / vertical limits of the graph by clicking on the wrench icon in the top right corner of the web page for the demo.
6. Indicate the observed test statistic on your sketch.
7. Show the rejection region defined by \(\alpha\) on your sketch, which you can find using Table A-4 in the appendix of Triola & Triola.
8. Add your conclusion using language from the original claim. Do not just answer "Reject the null" / "Do not reject the null."

If you need a refresher on how to perform a one-sample \(\chi^{2}\) goodness-of-fit test using Minitab, see this Minitab documentation.

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