SOLUTION: SMOKING AND COLLEGE EDUCATION Q1. The tobacco industry closely monitors all surveys that involve smoking. One survey showed that among 785 randomly selected sunjects who comple

Question 75554: SMOKING AND COLLEGE EDUCATION
Q1. The tobacco industry closely monitors all surveys that involve smoking. One survey showed that among 785 randomly selected sunjects who completed four years of college, 18.3% smoke(based on data from American Medical Association).
a. Construct the 98% confidence interval for the true percentage of smokers among all people who completed four years of college.
b. Based on the result from part (a),does the smoking rate for those with four year of college appear to be substantially different than the 27% rate for the general population?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One survey showed that among 785 randomly selected sunjects who completed four years of college, 18.3% smoke(based on data from American Medical Association).
a. Construct the 98% confidence interval for the true percentage of smokers among all people who completed four years of college.
--------
E= z*sqrt(pq/n)
You don't have "p" so use p-hat=0.183
E= 2.326sqrt(0.183*0.817/785)
E= 0.032
Then CI is: (0.183-0.032,0.183+0.032) or (0.151,0.215)
==========================
b. Based on the result from part (a),does the smoking rate for those with four year of college appear to be substantially different than the 27% rate for the general population?
Yes, 27% is significantly outside the range of the 98% confidence interval
for the smoking percent of four year college students.
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Cheers,
Stan H.

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