Is the type if car purchased in Oakland county independent of the age of the dri

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Is the type if car purchased in Oakland county independent of the age of the driver? A random sample of 309 car purchases at two different new car dealerships in Oakland county is taken, resulting in the following contigency table of observed values.

Select one:

A. H0: Type of car purchased in Oakland county is independent of the age of the driver
Ha: Type of car purchased in Oakland county is dependent on age of the driver

B. H0: Type of car purchased in Oakland county is dependent on the age of the driver
Ha: Type of car purchased in Oakland county is independent of the age of the driver

C. There is not enough information to answer this question

D. None of the above answers is correct

Question 16

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Reference Oakland county problem statement, what is the critical value of the test statistic?

Select one:

A. 12.123

B. 13.277

C. 14.890

D. 62.345

E. None of the above answers is correct

Question 17

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Reference Oakland county problem statement, what is the value of the test statistic?

Select one:

A. 10.09

B. 43.65

C. 53.10

D. 59.41

E. None of the above answers is correct

Question 18

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Reference Oakland County problem statement, what conclusion should be drawn based on the value of the test statistic and its critical value?

Select one:

A. Reject null hypothesis, car purchases in Oakland county is independent of the age of the driver

B. Reject null hypothesis, car purchases in Oakland county is dependent on the age of the driver

C. Fail to reject null hypothesis, car purchases in Oakland county is independent of the age of the driver

D. Fail to reject null hypothesis, car purchases in Oakland county is dependent on the age of the driver

E. None of the above answer is correct

Question 19

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The following data show the grades of a sample of 40 students who have taken statistics.

Select one:

A. 3.0

B. 3.2

C. 5.0

D. 5.2

E. None of the above answers is correct

Question 20

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Reference statistic test scores for 40 students, what is the critical value of the test statistic?

Select one:

A. 3.24

B. 7.24

C. 9.24

D. 11.24

E. None of the above answers is correct

Compact Mid-size Luxury 21< age < 34 26 95 18 35 < age < 55 41 40 20 age > 55 24 13 32

Explanation / Answer

1.

Is the type if car purchased in Oakland county independent of the age of the driver? A random sample of 309 car purchases at two different new car dealerships in Oakland county is taken, resulting in the following contigency table of observed values.

A)

OPTION A. H0: Type of car purchased in Oakland county is independent of the age of the driver
Ha: Type of car purchased in Oakland county is dependent on age of the driver

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B)

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,          
          
a =    3      
b =    3      
          
df =    4      
          
Thus, the critical value is          
          
significance level =    0.01      
          
chi^2(critical) =    13.277   [ANSWER, B]  

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C)

Doing an Expected Value Chart,          
          
40.93527508   66.57605178   31.48867314  
29.74433657   48.37540453   22.8802589  
20.32038835   33.04854369   15.63106796  
          
Using chi^2 = Sum[(O - E)^2/E],          
          
chi^2 =    59.41 [ANSWER, D]

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d)  

As chi^2 > 13.277, then

OPTION B. Reject null hypothesis, car purchases in Oakland county is dependent on the age of the driver. [ANSWER]

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