An insurance company checks police records on 569 accidents selected at random and notes that teenagers were at the wheel in 87 of them. Complete parts a) through d).

a) Construct the95% confidence interval for the percentage of all auto accidents that involve teenage drivers.

95% CI=

%,

%

(Round to one decimal place asneeded.)

b) Explain what your interval means.

A.

We are95% confident that the true percentage of accidents involving teenagers falls inside the confidence interval limits.

B.

We are95% confident that a randomly sampled accident would involve a teenager a percent of the time that falls inside the confidence interval limits.

C.

We are95% confident that the percent of accidents involving teenagers is 15.3%.

c) Explain what"95% confidence" means.

About95% of random samples of size 569 will produce confidence intervals

confidence intervals

a sample proportion

a true proportion

thatcontain(s) the true proportion

sample proportion

true proportion

confidence interval

of accidents involving teenagers.

d) A politician urging tighter restrictions ondrivers' licenses issued to teenssays, "In one of every five autoaccidents, a teenager is behind thewheel." Does the confidence interval contradict thisstatement?

A.

The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is inside the interval.

B.

The confidence interval doesnotcontradict the assertion of the politician. The figure quoted by the politician is outside the interval.

C.

The confidence interval doesnotcontradict the assertion of the politician. The figure quoted by the politician is inside the interval.

D.

The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is outside the interval.