SOLUTION: Base in recent survey, 20% of the adults in USA smoke. In a survey of 50 statistics students, it is found that 6 of them smoke. Find the probability that should be used for determi

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Base in recent survey, 20% of the adults in USA smoke. In a survey of 50 statistics students, it is found that 6 of them smoke. Find the probability that should be used for determi      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1058659: Base in recent survey, 20% of the adults in USA smoke. In a survey of 50 statistics students, it is found that 6 of them smoke. Find the probability that should be used for determining whether the 20% rate is correct for statistics students.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Question ambiguous. The probability that should be used is 20%.
0.12 smoke
the standard error at the 95% level has an interval that is 1.96*sqrt(0.2*0.8/50); that sqrt is 0.0565; the product is 0.1109
The confidence interval is (0.0091, 0.2309)
Since 0.20 is in the 95% interval we cannot conclude that statistics students smoke at a different percentage than do other adults.
The p-value for this result is 0.16