Lab 2: Chi-Square Test of Independence, The Chi-Square Distribution | Statistics

Learning objectives

Lab 2: Chi-Square Test of Independence

Student Learning Outcome

The student will evaluate if there is a significant relationship between favorite type of snack and gender.

Collect the Data

Using your class as a sample, complete the following chart. Ask one another what your favorite snack is, then total the results.

Favorite Type of Snack
	Sweets (candy & baked goods)	Ice Cream	Chips & Pretzels	Fruits & Vegetables	Total
Male
Female
Total

Looking at id89871qw3984l8, 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:

H₀: ________
H_a: ________
What distribution should you use for a hypothesis test?
Why did you choose this distribution?
Calculate the test statistic.
Find the p value.
Sketch a graph of the situation. Label and scale the x axis. Shade the area corresponding to the p value.
View original figure (external; image not reproduced in this text edition)
Original figure description: Blank graph with vertical and horizontal axes.
State your decision.
State your conclusion in a complete sentence.

Discussion Questions

Is the conclusion of your study the same as or different from your answer to answer to Question 2 under Collect the Data?
Why do you think that occurred?

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