Does this confidence interval support the​ blogger's claim? Explain your reasoning.

MATLAB: An Introduction with Applications
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A recent poll found that
664
out of
1026
randomly selected people in a particular country felt that colleges and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for the CLT are​ met, use the accompanying Minitab output to complete parts a and b below.
 
N
Event
Sample p
​95% CI for p
1026
664
0.647173
​(0.617934​,
0.676413​)
 
 
 

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b. Suppose a sports blogger wrote an article claiming that a majority of adults from this country believe that colleges and universities with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the​ blogger's claim? Explain your reasoning.
 
A.
​No, it is not a plausible claim because the confidence interval contains​ 50%.
 
B.
​No, it is not a plausible claim because the confidence interval does not contain only values above​ 50%.
 
C.
​Yes, it is a plausible claim because the confidence interval does not contain​ 50%.
 
D.
​Yes, it is a plausible claim because the confidence interval contains only values above​ 50%

 

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