An insurance company checks police records on 590 accidents selected at random and notes that teenagers...
An insurance company checks police records on 590 accidents selected at random and notes that teenagers were at the wheel in 90 of them.
a) Construct the 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.
95% Cl= (....%, ....%)
Homework Answers
Solution:- Given that sample n = 590, x = 90
p = x/n = 90/590 = 0.1525
q = 1-p = 1-0.1525 = 0.8475
95% confidence for the Z = 1.645
a) 95% confidence interval for the percentage of all auto accidents = p +/- Z*sqrt(p*q/n)
= 0.1525 +/- 1.96*sqrt(0.1525*0.8475/590)
= (0.1235 , 0.1815)
= (12.35% , 18.15%)
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