The statistical abstract of the United States reported that 66 % of students who graduated from high school enrolled in college. If 100 high school graduate are sampled, find the probability that at least 75% high school graduates are enrolled in college.
Given: p = 66% = 0.66
n = 100
To find :
For finding this probability, we need to find Z score.
Use the following formula to find Z score.
= 1 - P(Z <= 1.8999)
We can find out this probability using the Z table or technology.
Suppose, we are finding the probability using excel.
USe the following excel command.
=NORMSDIST(Z)
=NORMSDIST(1.8999)
We will get, P(Z <= 1.8999) = 0.971277
That is, the probability of at least 75% high school graduates are enrolled in college = 0.029
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