Question

According to data released in​ 2016, 69​% of students in the United States enroll in college directly after high school graduation. Suppose a sample of 232 recent high school graduates is randomly selected. After verifying the conditions for the Central Limit Theorem are​ met, find the probability that at most 66​% enrolled in college directly after high school graduation.

Answer 1

Answer:

15.87%

Step-by-step explanation:

The Random and Independent condition holds assuming independent.

The Large Samples condition Holds

The Big Populations condition can reasonably be assumed to hold.

Hence,

P(Atmost 66%)

$P(z$

= P(z < -1.0090)

= 0.1587

= 15.87%