In: Statistics and Probability
An insurance company finds that of 591 randomly selected auto
accidents, teenagers were driving the vehicle in 112 of them.
(a) Find the 95% confidence interval for the proportion of auto
accidents with teenaged drivers:
( , ) (Use 4 decimals.)
(b) What does this interval mean?
We are 95% confident that the proportion of all accidents with teenaged drivers is inside the above interval.We are 95% confident that the percent of accidents with teenaged drivers is 19.0%. We are 95% confident that a randomly chosen accident with a teenaged driver will fall inside the above interval.We are 95% confident that of the 591 sampled accidents, the proportion with a teenaged driver falls inside the above interval.
(c) What does the 95% confidence level mean?
We expect that 95% of random samples of size 591 will
produce --- confidence intervals a sample proportion a
true proportion that contain(s) the --- confidence
interval sample proportion true proportion of accidents that had
teenaged drivers.
(d) A politician urging tighter restrictions on drivers' licenses
issued to teens says, "One of every five auto accidents has a
teenaged driver." Does the confidence interval support or
contradict this statement?
The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is outside the interval.The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is inside the interval. The confidence interval supports the assertion of the politician. The figure quoted by the politician is outside the interval.The confidence interval supports the assertion of the politician. The figure quoted by the politician is inside the interval.