The national average for the percentage of high school graduates taking the SAT is 49%, but the state averages vary from a low of 14% to a high of 90%. A random sample of 400 graduating high school seniors was polled across a particular tri-state area, and it was found that 190 had taken the SAT. (a) What is the best estimate of, p, the true proportion of high school graduates in this region who take the SAT. (b) Construct a 95% confidence interval for p.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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The national average for the percentage of high school graduates taking the
SAT is 49%, but the state averages vary from a low of 14% to a high of 90%. A random
sample of 400 graduating high school seniors was polled across a particular tri-state area,
and it was found that 190 had taken the SAT.
(a) What is the best estimate of, p, the true proportion of high school graduates in this
region who take the SAT.
(b) Construct a 95% confidence interval for p.
Transcribed Image Text:The national average for the percentage of high school graduates taking the SAT is 49%, but the state averages vary from a low of 14% to a high of 90%. A random sample of 400 graduating high school seniors was polled across a particular tri-state area, and it was found that 190 had taken the SAT. (a) What is the best estimate of, p, the true proportion of high school graduates in this region who take the SAT. (b) Construct a 95% confidence interval for p.
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