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Hypothesis Testing of Single Mean and Single Proportion: Lab (Edited: Teegarden) 02

Module by: Mary Teegarden. E-mail the author

Based on: Hypothesis Testing of Single Mean and Single Proportion: Lab by Barbara Illowsky, Ph.D., Susan Dean

Summary: update of figure 1 to be a normal curve

Single Sample Hypothesis Test

Name:

                                                  

I. Student Learning Outcomes:

  • The student will select the appropriate distributions to use in each case.
  • The student will conduct hypothesis tests and interpret the results.

II Textbook Survey

The data in the Textbook.mtw lists the cost of 62 books required for a sample of classes from Summer 2008 at Mesa College. Students believe that they are spending on average $100 for their textbooks. Using the data for new books as the sample, conduct a hypothesis test to determine if the average cost of new textbooks at Mesa is lower than $100. (α = 0.08)

  1. Ho:
                        
    Ha:
                        
  2. In words, define the random variable.
                                                      
  3. The distribution to use for the test is:
                                  
  4. Using Minitab, draw the probability graph and label it appropriately. Attach the graph to this lab.
  5. What is the formula for calculating the test statistic? Include the values.
                                                      
  6. Calculate the test statistic using Minitab and include the session window output. test statistic =
                        
  7. Determine the p-value using Minitab. p-value =
                        
  8. Do you or do you not reject the null hypothesis?
                        
    Why? (Use 2 - 3 complete sentences)
  9. Write a clear conclusion using a complete sentence.

II. Language Survey

According to the 2000 Census, about 39.5% of Californians and 17.9% of all Americans speak a language other than English at home. Using students at your college as the sample, conduct a hypothesis test to determine if the percent of the students at your school that speak a language other than English at home is different from 39.5%. (α = 0.05) (Ensure that your sample is large enough to allow for the assumption of normality.)

Sample data: x =

                    
n =
                    

  1. Ho:
                        
    Ha:
                        
  2. In words, define the random variable.
                                                      
  3. The distribution to use for the test is:
                        
  4. Using Minitab, draw the probability graph and label it appropriately. Attach the graph to this lab.
  5. What is the formula for calculating the test statistic? Include the values.
                                                      
  6. Calculate the test statistic using Minitab and include the session window output. test statistic =
  7. Determine the p-value using Minitab. p-value =
                        
  8. Do you or do you not reject the null hypothesis?
                        
    Why? (Use 2 - 3 complete sentences)
  9. . Write a clear conclusion using a complete sentence.

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