Traffic accidents: Traffic engineers compared rates of traffic accidents at intersections with raised medians with rates at intersections with two-way left-turn lanes. They found that out of 4642 accidents at intersections with raised medians, 2290 were rear-end accidents, and out of 4579 accidents at two-way left-turn lanes, 2005 were rear-end accidents. Part: 0/2 Part 1 of 2 (a) Assuming these to be random samples of accidents from the two types of intersection, construct a 98% confidence for the difference between the proportions of accidents that are of the rear-end type at the two types of intersection. Use the TI-84 calculator and round the answers to three decimal places. Let p, represent the population for accidents at intersections with raised medians. A 98% confidence interval for the difference between the proportions of accidents that are of the rear-end type at the two types of intersection is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Traffic accidents: Traffic engineers compared rates of traffic accidents at intersections with raised medians with rates at
intersections with two-way left-turn lanes. They found that out of 4642 accidents at intersections with raised medians, 2290 were
rear-end accidents, and out of 4579 accidents at two-way left-turn lanes, 2005 were rear-end accidents.
Part: 0/2
Part 1 of 2
(a) Assuming these to be random samples of accidents from the two types of intersection, construct a 98% confidence for
the difference between the proportions of accidents that are of the rear-end type at the two types of intersection. Use the
TI-84 calculator and round the answers to three decimal places. Let P, represent the population for accidents at
intersections with raised medians.
A 98% confidence interval for the difference between the proportions of accidents that are of
the rear-end type at the two types of intersection is
<P₁-P₂<.
Part: 1/2
Part 2 of 2
(b) Does the confidence interval contradict the claim that the proportion of rear-end accidents is the same at both types of
intersection?
Because the confidence interval (Choose one) Y 0. it (Choose one)
that the proportion of rear-end accidents is the same at both types of intersection.
X 5 ?
the claim
Transcribed Image Text:Traffic accidents: Traffic engineers compared rates of traffic accidents at intersections with raised medians with rates at intersections with two-way left-turn lanes. They found that out of 4642 accidents at intersections with raised medians, 2290 were rear-end accidents, and out of 4579 accidents at two-way left-turn lanes, 2005 were rear-end accidents. Part: 0/2 Part 1 of 2 (a) Assuming these to be random samples of accidents from the two types of intersection, construct a 98% confidence for the difference between the proportions of accidents that are of the rear-end type at the two types of intersection. Use the TI-84 calculator and round the answers to three decimal places. Let P, represent the population for accidents at intersections with raised medians. A 98% confidence interval for the difference between the proportions of accidents that are of the rear-end type at the two types of intersection is <P₁-P₂<. Part: 1/2 Part 2 of 2 (b) Does the confidence interval contradict the claim that the proportion of rear-end accidents is the same at both types of intersection? Because the confidence interval (Choose one) Y 0. it (Choose one) that the proportion of rear-end accidents is the same at both types of intersection. X 5 ? the claim
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