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Lab 2: Chi-Square Test for Independence

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

Summary: This module provides a lab on Chi-Square Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean.

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.

    Note:

    You may need to combine two food categories so that each cell has an expected value of at least 5
    Table 1: Favorite type of snack
      sweets (candy & baked goods) ice cream chips & pretzels fruits & vegetables Total
    male          
    female          
    Total          
  2. Looking at the above chart, does it appear to you that there is 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. HoHo size 12{H rSub { size 8{o} } } {}:
  2. HaHa size 12{H rSub { size 8{a} } } {}:
  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 1
    Blank graph with vertical and horizontal axes.
  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 (I2) above?
  2. Why do you think that occurred?

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