Question

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 comma 3001,300 Americans results in 143143 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 increasedincreased.

Answer 1

0.01 is the difference between the 2006 study and the sampe which is negligible hence why we can't say the proportion of Americans who are afraid to fly has increased.

Explanation:

In 2006, the proportion of Americans afraid to fly is 0.10.

Then a random sample of 1300 Americans results in 143 indication that they are afraid to fly.

The proportion for this random sample is:

`(143)/(1300) = 0.11`

0.11 is the proportion of Americans afraid to fly based on the random sample.

This proportion is not necessarily evidence that the proportion of Americans who are afraid to fly has increased because the difference between the proportion of the sample and the 2006 study is negligible.

The difference is:

`0.11 - 0.10 = 0.01`

and 0.01 is negligible.