74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A...
74% of freshmen entering public high schools in 2006 graduated with their class in 2010. A random sample of 81 freshmen is selected. Find the probability that the proportion of students who graduated is greater than 0.743 .
Homework Answers
Given,
p = 0.74 , n = 81
Using central limit theorem,
P(
< p) =
P( Z < - p / sqrt(
p( 1 -p ) / n))
So,
P( > 0.743)
= P( Z > 0.743 - 0.74 / sqrt( 0.74 * 0.26 / 81) )
= P( Z > 0.0616)
= 0.4755
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