PART 1: Determining the Appropriate Test
Assume that the following three questions appeared on a surveythat is being used to collect data on consumer behavior for yourcompany.
Question 1:Â Â Â Â Â Â Â Â Doyou subscribe to Netflix? (CircleOne)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â YESÂ Â Â Â Â Â Â Â NO
Question 2:        Whatis your monthly average income indollars?              $__________
Question 3:Â Â Â Â Â Â Â Â Inwhich of the 5 U.S. regions do you reside? (Circle one)
                               Northeast          Southwest         West        Midwest       Southeast
                              Â
- You want to determine if a relationship exists betweenthe U.S. region in which the consumer resides and whether or notthey are a subscriber to Netflix.
- Which test should you run to help you answer this question?(ANOVA or Chi-Square test)
- Given your answer in part “A†above, set up the nulland alternative hypotheses to begin your test.
- Now assume that you want to determine if theaverage monthly income of a consumer is different among groups ofpeople living in different regions of the UnitedStates.
- Which test should you run to help you answer this question?(ANOVA or Chi-Square test)
- Given your answer in part “A†above, set up the nulland alternative hypotheses to begin your test.
PART 2: Analysis of a Chi-Square test
Assume that a research study was conducted that included thefollowing survey questions:
Question 1:        Haveyou ever attended an event at the city Performing ArtsCenter?      YES        NO
Question 2:        Haveyou ever attended an event at the city AthleticCenter?                      YES        NO
A sample of 93 people answered the survey questions. Theresearch team utilized Minitab statistical software to create theresults shown below. You will find a contingency table with theChi-Square test statistic and p-value at the bottom.
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CHI-SQUARE TEST FOR ASSOCIATION: PERFORMING ARTS CENTERATTENDANCE, ATHLETIC CENTER ATTENDANCE
Rows: Performing Arts Center Attendance                      Columns: Athletic Center Attendance
| NO | YES | Â Â All |
| | | |
NO | 15 | 1 | 16 |
| 9.634 | 6.366 | |
| | | |
YES | 41 | 36 | 77 |
| 46.366 | 30.634 | |
| | | |
All | 56 | 37 | 93 |
CellContents:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Count
                                               Expected Count  Â
| Chi-Square | DF | P-Value |
Pearson | 9.072 | 1 | 0.003 |
| | | |
Review the study and the Minitab results. Then answerthe following questions:
- If you want to determine if a relationship exists betweenwhether or not a person attended an event at the Performing Artscenter and whether or not the person attended an event at theAthletic Center, set up the null and alternative hypotheses tobegin your test.
- Find the p-value in the output. Draw a conclusionabout your hypotheses based on this p-value. Be sure to explainyour answer. Why did you draw the conclusion that you did?