The table below shows the age and favorite type of music of 668 randomly selected people. Use a 0.05 significance level to test the claim that the favorite type of music is independent of age.                                      Rock Pop Classical                       15​ - 25      50 85 73                     25​ - 35      68 91 60                     35​ - 45       92         74 77 a. State Upper H 0 .     A. Favorite type of music is related to age   B. Favorite type of music is independent of age   C. More people age 35​ - 45 like rock than classical   D. The age groups are independent   b. Calculate the​ P-value. Which of these options is closest to the​ P-value?     A. 0.0065     B. 0.0094     C. 0.0083     D. 0.0074     c. State the technical conclusion.     A. Do not reject Upper H 0     B. Reject Upper H 0

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The table below shows the age and favorite type of music of 668 randomly selected people. Use a 0.05 significance level to test the claim that the favorite type of music is independent of age.
 
                                   Rock Pop Classical  
                    15​ - 25      50 85 73
                    25​ - 35      68 91 60
                    35​ - 45      
92
       
74 77
a. State
Upper H 0
.
 
 
A.
Favorite type of music is related to age
 
B.
Favorite type of music is independent of age
 
C.
More people age 35​ - 45 like rock than classical
 
D.
The age groups are independent
 
b. Calculate the​ P-value. Which of these options is closest to the​ P-value?
 
 
A.
0.0065
 
 
B.
0.0094
 
 
C.
0.0083
 
 
D.
0.0074
 
 
c. State the technical conclusion.
 
 
A.
Do not reject Upper H 0
 
 
B.
Reject Upper H 0
 
 
d. State the final conclusion.
 
 
A.
There is sufficient evidence to warrant rejection of the claim.
 
B.
There is not sufficient evidence to warrant rejection of the claim.
 
C.
There is not sufficient sample evidence to support the claim.
 
D.
The sample data support the claim.
 
e. Does the age of a person appear to affect their choice of​ music?
 
 
A.
Yes
 
B.
No
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