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Problem 2

 

 

 

  1. present a contingency table

 

 

 

  1. state the appropriate null and the alternative hypothesis

     

  2. for each test

     

    1. determine a critical value using

       

    2. present a test statistic

       

    3. present a p-value

       

    4. interpret  the p-value

       

    5. state your decision

       

    6. state your conclusion

 

 

 

One hundred and fifty subjects who completed a weight-reduction program at a fitness center were divided into three equal groups. Subjects in Group 1 were assigned to a support group that met weekly. Subjects in Group 2 were assigned to a support group that met monthly. Subjects in Group 3 did not participate in support group activities.  At the end of the year a determination was made as to whether each subject met their weight loss goal.  The results are in the table below. Perform an appropriate test to determine if there is a significant difference in the proportion that met their weight loss goal among the three groups.   

 

 

Group 1

Group 2

Group 3

Met Goal

34

28

12

Did not Meet Goal

16

22

38

 

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