PART 1: Determining the Appropriate Test Assume that the following three questions appeared on a survey that...

80.2K

Verified Solution

Question

Basic Math

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:         Doyou subscribe to Netflix? (CircleOne)                              YES         NO

Question 2:         Whatis your monthly average income indollars?              $__________

Question 3:         Inwhich of the 5 U.S. regions do you reside? (Circle one)

                               Northeast          Southwest         West         Midwest        Southeast

                               

  1. 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.

  1. Which test should you run to help you answer this question?(ANOVA or Chi-Square test)

  1. Given your answer in part “A” above, set up the nulland alternative hypotheses to begin your test.

  1. 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.

  1. Which test should you run to help you answer this question?(ANOVA or Chi-Square test)
  1. 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.

---------------------------------------------------------------------------------------------------------------------------------

CHI-SQUARE TEST FOR ASSOCIATION: PERFORMING ARTS CENTERATTENDANCE, ATHLETIC CENTER ATTENDANCE

Rows: Performing Arts Center Attendance                      Columns: Athletic Center Attendance

NO

YES

   All

NO

15

1

16

9.634

6.366

YES

41

36

77

46.366

30.634

All

56

37

93

CellContents:                       Count

                                               Expected Count   

Chi-Square

DF

P-Value

Pearson

9.072

1

0.003

Review the study and the Minitab results. Then answerthe following questions:

  1. 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.
  1. 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?

Answer & Explanation Solved by verified expert
4.2 Ratings (716 Votes)
Tabulated Statistics C1 Worksheet columns Rows C1 Columns Worksheet columns No Yes All No 15 1 16 9634 6366 Yes 41 36 77 46366 30634 All 56 37 93 Cell Contents Count Expected count ChiSquare Test    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students