** The first and last question sets on this assignment use the Palmer Penguins dataset. You can learn more about this dataset here: Horst AM, Hill AP, Gorman KB (2020). palmerpenguins: Palmer Archipelago (Antarctica) penguin data. R package version 0.1.0.https://allisonhorst.github.io/palmerpenguins/ DOI: 10.5281/zenodo.3960218. **

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Lesson 11: Chi-Square Goodness-of-Fit

A representative sample of customers at one restaurant were surveyed and ask if they prefer their breakfast sandwiches to be made on plain, everything, or sesame bagels. Each participant could only select their one most preferred bagel flavor. In that sample, 24 selected plain, 10 selected everything, and 12 selected sesame. Conduct a chi-square goodness-of-fit test to determine if there is evidence that the proportions of people in the population who would choose plain, everything, and sesame bagels are not all equal. Use Minitab Express and remember to include all relevant output. [25 points]

Step 1: State hypotheses and check assumptions

Step 2: Compute the test statistic

Step 3: Determine the p-value

Step 4: Decide to reject or fail to reject the null hypothesis

Step 5: State a real-world conclusion

Lesson 11: Chi-Square Test of Independence

This question uses the Palmer Penguins dataset, which can be downloaded on the assignment page in Canvas. We want to know if there is a relation between species and sex in the population. Using Minitab Express, conduct a chi-square test of independence using the species and sex variables. Remember to include all relevant output. Use the five-step hypothesis testing procedure. [25 points]

Step 1: State hypotheses and check assumptions

Step 2: Compute the test statistic

Step 3: Determine the p-value

Step 4: Decide to reject or fail to reject the null hypothesis

Step 5: State a real-world conclusion