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According to a study conducted by an​ organization, the proportion of Americans who were afraid to fly in 2006

According to a study conducted by an​ organization, the proportion of Americans who were afraid to fly in 2006

was 0.10. A random sample of 1,400 Americans results in 154 indicating that they are afraid to fly. Explain why this is not necessarily evidence that the proportion of Americans who are afraid to fly has increased.

Select the correct choice below​ and, if​ necessary, fill in the answer box to complete the choice.

A.

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This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the sample size n is more than​ 5% of the population.

B.

This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the value of ​np is less than 10.

C.

This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the sample​ proportion, 

( )​, is very close to 0.10. 

​(Type a integer or a​ decimal.)

D.

This is not necessarily evidence that the proportion of Americans who are afraid to fly has increased above 0.10 because the probability of obtaining a value equal to or more extreme than the sample proportion is 

( )​, which is not unusual.

​(Round to four decimal places as​ needed.) 

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