Question
In: Statistics and Probability
An insurance company checks police records on 559 accidents selected at random and notes that teenagers...
An insurance company checks police records on 559 accidents selected at random and notes that teenagers were at the wheel in 92 of them. Construct the 95% confidence interval for the percentage of all auto accidents that involve teenage drivers.
Question: 95% CI= (___%,___%) (round to one decimal place as needed.)
Solutions
Expert Solution
Sample proportion 
= 92 / 559
= 0.165
95% confidence interval for p is
-
Z
/2 * sqrt [
(1 -
) / n ] <
p < +
Z/2 * sqrt [
(1 -
) / n ]
0.165 - 1.96 * sqrt [ 0.165 * ( 1 - 0.165 ) / 559] < p < 0.165 + 1.96 * sqrt [ 0.165 * ( 1 - 0.165 ) / 559]
0.134 < p < 0.196
95% CI is (13.4% , 19.6% )
orchestra answered 2 years agoRelated Solutions
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