 ## Introduction

### Introduction

Stats Lab 11.2

#### Lab 2: Chi-Square Test of Independence

Class Time:

Names:

Student Learning Outcome
• The student will evaluate if there is a significant relationship between favorite type of snack and gender.
Collect the Data
1. Using your class as a sample, complete the following chart. Ask one another what your favorite snack is, then total the results.

### Note

You may need to combine two food categories so that each cell has an expected value of at least five.

Sweets (candy & baked goods) Ice Cream Chips & Pretzels Fruits & Vegetables Total
Male
Female
Total
Table 11.26 Favorite Type of Snack
2. Looking at Table 11.26, does it appear to you that there is a dependence between gender and favorite type of snack food? Why or why not?

Hypothesis Test Conduct a hypothesis test to determine if the factors are independent:

1. H0: ________
2. Ha: ________
3. What distribution should you use for a hypothesis test?
4. Why did you choose this distribution?
5. Calculate the test statistic.
6. Find the p-value.
7. Sketch a graph of the situation. Label and scale the x-axis. Shade the area corresponding to the p-value.
Figure 11.12
8. State your decision.
9. State your conclusion in a complete sentence.
Discussion Questions
1. Is the conclusion of your study the same as or different from your answer to answer to question 2 under Collect the Data?
2. Why do you think that occurred?