Does buying CDs depend on whether you own a smartphone or not? A survey asks a group of students if they buy CDs or not. It also asks if the students own a smartphone or not. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.    CDs   No CDs   Row Total  Smartphone  6 24 30 No Smartphone  16 8 24 Column Total  22 32 54 (a)  The null and alternative hypotheses are: H0: The two variables are independent, so owning a smartphone does not affect buying CDs. Ha: The two variables are dependent, so owning a smartphone does affect buying CDs.   (b)  Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.) Provide your answer below: Test Statistic =

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Does buying CDs depend on whether you own a smartphone or not? A survey asks a group of students if they buy CDs or not. It also asks if the students own a smartphone or not. The data are recorded in the contingency table below, and a chi-square Test of Independence at the 5% significance level is performed.

 

 CDs 

 No CDs 

 Row Total 

Smartphone 

6

24

30

No Smartphone 

16

8

24

Column Total 

22

32

54

(a)  The null and alternative hypotheses are:

  • H0: The two variables are independent, so owning a smartphone does not affect buying CDs.
  • Ha: The two variables are dependent, so owning a smartphone does affect buying CDs.

 

(b)  Compute the test statistic, rounded to one decimal place. (Use expected frequencies that are also rounded to one decimal place.)

Provide your answer below:

Test Statistic =
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