Question

- Which of the following is offered or made available with Waffle Potato Fries? (Select all that apply.) A) Ketchup

B) Mayonnaise
C) Cheese sauce
D) Ranch dressing
E) BBQ sauce
F) Garlic aioli

Answer 1

To investigate if the type of fries sold is independent of the region, a chi-square test of independence is used. The process involves organizing data into a contingency table, calculating expected counts, computing the chi-square statistic, assessing the p-value, and drawing a conclusion based on the significance level.

Step-by-step explanation:

To conduct a test of independence to determine if the type of fries sold is independent of the area of the country, we would generally use a chi-square test of independence. This statistical test allows us to see if there is a significant association between two categorical variables (in this case, the type of fries and the area of the country). Here's how you can perform the test:

1. Collate the data: Organize the data into a contingency table with fries types in rows and regions in columns.
2. Calculate expected counts: Use the marginal totals (totals for rows and columns) to calculate the expected count for each cell under the assumption that the variables are independent.
3. Compute the chi-square statistic: Compare the observed counts with the expected counts to calculate the chi-square statistic.
4. Assess the p-value: Determine the p-value from the chi-square distribution to decide whether or not to reject the null hypothesis.
5. Conclusion: Based on the p-value, decide if the fries type and regional sales are independent or not.