An insurance company checks police records on 586 accidents selected at random and notes that teenagers were at the wheel in 84 of them. Complete parts a) through d). ... a) Construct the 95% confidence interval for the percentage of all auto accidents that involve teenage drivers. 95% CI= (%1%) (Round to one decimal place as needed.) b) Explain what your interval means. A. We are 95% confident that the percent of accidents involving teenagers is 14.3%. B. We are 95% confident that the true percentage of accidents involving teenagers falls inside the confidence interval limits. O c. We are 95% confident that a randomly sampled accident would involve a teenager a percent of the time that falls inside the confidence interval limits. c) Explain what "95% confidence" means. About 95% of random samples of size 586 will produce that contain(s) the of accidents involving teenagers. d) A politician urging tighter restrictions on drivers' licenses issued to teens says, "In one of every five auto accidents, a teenager is behind the wheel." Does the confidence interval contradict this statement? OA. The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is inside the interval. OB. The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is outside the interval. OC. The confidence interval does not contradict the assertion of the politician. The figure quoted by the politician is outside the interval.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 6E: List the sample space of each experiment. Tossing three coins
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An insurance company checks police records on 586 accidents
selected at random and notes that teenagers were at the wheel
in 84 of them. Complete parts a) through d).
a) Construct the 95% confidence interval for the percentage of
all auto accidents that involve teenage drivers.
95% CI= (%,1%)
(Round to one decimal place as needed.)
b) Explain what your interval means.
O A. We are 95% confident that the percent of accidents
involving teenagers is 14.3%.
OB. We are 95% confident that the true percentage of
accidents involving teenagers falls inside the
confidence interval limits.
O c. We are 95% confident that a randomly sampled
accident would involve a teenager a percent of the time
that falls inside the confidence interval limits.
c) Explain what "95% confidence" means.
About 95% of random samples of size 586 will produce
that contain(s) the
of accidents involving teenagers.
d) A politician urging tighter restrictions on drivers' licenses
issued to teens says, "In one of every five auto accidents, a
teenager is behind the wheel." Does the confidence interval
contradict this statement?
OA. The confidence interval contradicts the assertion of the
politician. The figure quoted by the politician is inside
the interval.
OB. The confidence interval contradicts the assertion of the
politician. The figure quoted by the politician is outside
the interval.
OC. The confidence interval does not contradict the
assertion of the politician. The figure quoted by the
politician is outside the interval.
Transcribed Image Text:K An insurance company checks police records on 586 accidents selected at random and notes that teenagers were at the wheel in 84 of them. Complete parts a) through d). a) Construct the 95% confidence interval for the percentage of all auto accidents that involve teenage drivers. 95% CI= (%,1%) (Round to one decimal place as needed.) b) Explain what your interval means. O A. We are 95% confident that the percent of accidents involving teenagers is 14.3%. OB. We are 95% confident that the true percentage of accidents involving teenagers falls inside the confidence interval limits. O c. We are 95% confident that a randomly sampled accident would involve a teenager a percent of the time that falls inside the confidence interval limits. c) Explain what "95% confidence" means. About 95% of random samples of size 586 will produce that contain(s) the of accidents involving teenagers. d) A politician urging tighter restrictions on drivers' licenses issued to teens says, "In one of every five auto accidents, a teenager is behind the wheel." Does the confidence interval contradict this statement? OA. The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is inside the interval. OB. The confidence interval contradicts the assertion of the politician. The figure quoted by the politician is outside the interval. OC. The confidence interval does not contradict the assertion of the politician. The figure quoted by the politician is outside the interval.
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