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Label the row and column margins of the r X c contingent table below using the \

ID: 3159150 • Letter: L

Question

Label the row and column margins of the r X c contingent table below using the "middot" notation. Perform the chi^2 test of independence. To better identify its target market. Alfa Romero conducted a market research study. A random sample of ? respondents was chosen, each of whom was asked to select one of four qualities that he or she believed described him or her best as a driver The four possible self-descriptive qualities were, defensive aggressive. enjoying, and prestigious each respondent was then asked to choose one of three Alfa Romero models as his or her choice of the most suitable car. the three models were. Alfasud. Giulia, and. Spider The purpose of the study was to determine whether a relationship existed between a driver's self-image and his or her choice of an alfa Romero model. State the appropriate hypothesis, test statistic, decision rule determine the p-value. draw a conclusion Give discussion on anything interesting to you observed in the data! the response data are given below.

Explanation / Answer

Here,

Ho: There is no relationship between a driver's self-image and his/her choice of an Alfa Romero model.   

Ha: There is a relationship between a driver's self-image and his/her choice of an Alfa Romero model.   

Doing an Expected Value Chart,          

          
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    20.86701198      
          
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    4      
b =    3      
          
df =    6      
          
          
Hence, the p value is, by technology,          
          
P =    0.001938315      
          
As the P value is very small, we   REJECT THE NULL HYPOTHESIS.      
          
Thus, there is significant evidence that there is a relationship between a driver's self-image and his/her choice of an Alfa Romero model. [CONCLUSION]

27.43498 30.81465 34.19432 40.55605 40.01794 44.94768 49.87743 59.15695 70.54709 79.23767 87.92825 104.287