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This module provides a lab on Chi-Square Distribution as a part of Collaborative Statistics collection (col10522) by Barbara Illowsky and Susan Dean. Labs changed to incorporate mini-tabs.

Class Time:

Name:

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.
    Favorite type of snack
    sweets (candy&baked goods) ice cream chips&pretzels fruits&vegetables Total
    male
    female
    Total
  • 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?

Determine the classification

Conduct a hypothesis test to determine if the factors are independent

  • H o size 12{H rSub { size 8{o} } } {} :
  • H a size 12{H rSub { size 8{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.
  • 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 (I2) above?
  • Why do you think that occurred?

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Source:  OpenStax, Labs for collaborative statistics - teegarden. OpenStax CNX. Aug 18, 2008 Download for free at http://cnx.org/content/col10562/1.2
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