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 1001,100

Americans results in

9999

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

decreaseddecreased.

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

A.This is not necessarily evidence that the proportion of Americans who are afraid to fly has

decreaseddecreased

belowbelow

0.10 because the probability of obtaining a value equal to or more extreme than the sample proportion is

nothing​,

which is not unusual.

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

B.This is not necessarily evidence that the proportion of Americans who are afraid to fly has

decreaseddecreased

belowbelow

0.10 because the sample size n is more than​ 5% of the population.

C.This is not necessarily evidence that the proportion of Americans who are afraid to fly has

decreaseddecreased

belowbelow

0.10 because the sample​ proportion,

nothing​,

is very close to 0.10.

​(Type an integer or a​ decimal.)

D.This is not necessarily evidence that the proportion of Americans who are afraid to fly has

decreaseddecreased

belowbelow

0.10 because the value of

​np(1minus−​p)

is less than 10.

Answer 1

option B is correct

it is given that n = 1100 and p = 0.10

this gives us np(1-p) = 1100*0.10*(1-0.10)

= 1100*0.1*0.9

= 99 greater than or equal to 10

So,condition for normal distribution is satisfied.

so, we can say that the sample proportion is normally distributed

B.This is not necessarily evidence that the proportion of Americans who are afraid to fly has

decreaseddecreased

belowbelow

0.10 because the sample size n is more than​ 5% of the population.