In: Statistics and Probability
An insurance company finds that of 629 randomly selected auto
accidents, teenagers were driving the vehicle in 118 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 a randomly chosen accident with a teenaged driver will fall inside the above interval.
We are 95% confident that of the 629 sampled accidents, the proportion with a teenaged driver falls inside the above interval.
We are 95% confident that the percent of accidents with teenaged drivers is 18.8%.
(c) What does the 95% confidence level mean?
We expect that 95% of random samples of size 629 will
produce ---(A) a sample proportion (B) a true proportion
(C) confidence intervals --- that contain(s) the --- (A)
sample proportion (B) confidence interval (C) 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 supports 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 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.