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Statistics

11.8 Lab 2: Chi-Square Test of Independence

Statistics11.8 Lab 2: Chi-Square Test of Independence

Stats Lab

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
  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.
    Blank graph with vertical and horizontal axes.
    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?
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