Two computer stores recorded the number of computers sold in a week along with t

Question

Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. At a= 0.05, test the claim that the distribution of hard drives and the store where the computers were bought are not related. Number of computers 20 GB drive 40 GB drive 80 GB drive 160 GB dr Store 1 There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 15.507 >2.125 There is not evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 2.125 7.815 There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 7.815 > 2.125

Explanation / Answer

Doing an Expected Value Chart,          
          
24.54146341   9.229268293   5.453658537   3.775609756
92.45853659   34.77073171   20.54634146   14.22439024
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    20.41726021      
          
With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    4      
b =    2      
          
df =    3      
          
Thus, the critical value is          
          
significance level =    0.05      
          
chi^2(critical) =    7.814727903      
          
      
          
As chi^2 > 7.815, we   REJECT THE NULL HYPOTHESIS.      
          
Hence,

ANSWER: OPTION C [ANSWER]

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