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Chi Squared Distribution Lab

Module by: Mary Teegarden. E-mail the author

Summary: This lab combines both the Chi-Squared goodness of fit and test for independence. It also incorporates the use of minitab software.

Chi-Squared Hyponthesis Tests

Name:

                                                  

Student Learning Outcomes:

  • The student will select the appropriate Chi-Squared Hypothesis Tests.
  • The student will conduct hypothesis tests and interpret the results.

Candy Lab Revisited

Suppose the color distribution for the candy from your initial Candy Lab is uniform. Based on the class data, does it appear that the distribution is actually uniform? (α = 0.08)

  1. Ho:
                        
    Ha:
                        
  2. Which γ2 - distribution test will be used?
                                  
  3. Using Minitab, draw the γ2 probability graph and label it appropriately. Attach the graph to this lab.
  4. What is the formula for calculating the test statistic?
                                  
  5. Calculate the test statistic and the p-value using Minitab. Include the session window output.

test statistic =

                    
p-value =
                    

Do you reject or fail to reject the null hypothesis?

          
Why? (Use a complete sentence.)

Write a clear conclusion using a complete sentence.

Favorite Snacks

Is the choice of snack food dependent on gender? Survey sufficient numbers of fellow classmates and others to ensure that the conditions for this γ² test are met. (α = 0.05)

Final Count:

Table 1
  Sweets Chips and Pretzels Fruit and Vegetables Total
Male        
Female        
Total        
  1. Ho:
                        
    Ha:
                        
  2. Which γ2 - distribution test will be used?
                                  
  3. Using Minitab, draw the γ2 probability graph and label it appropriately. Attach the graph to this lab.
  4. What is the formula for calculating the test statistic?
                                  
  5. Calculate the test statistic and the p-value using Minitab. Include the session window output.

test statistic =

                    
p-value =
                    

Do you reject or fail to reject the null hypothesis?

          
Why? (Use a complete sentence.)

Write a clear conclusion using a complete sentence.

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