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Solution Sheet: The Chi-Square Distribution

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

Summary: This module provides a solution sheet for the Chi-Square Distribution chapter of the Collaborative Statistics textbook/collection.

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  • a. HoHo size 12{H rSub { size 8{o} } } {}: _______
  • b. HaHa size 12{H rSub { size 8{a} } } {}: _______
  • c. What are the degrees of freedom?
  • d. State the distribution to use for the test.
  • e. What is the test statistic?
  • f. What is the pp size 12{p} {}-value? In 1 – 2 complete sentences, explain what the pp size 12{p} {}-value means for this problem.
  • g. Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the pp size 12{p} {}-value.
    Figure 1
    Figure 1 (wave2.PNG)
  • h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
    • i. Alpha:
    • ii. Decision:
    • iii. Reason for decision:
    • iv. Conclusion:

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