5) Traffic engineers compared rates of traffic collisions at intersections with raised medians and rates at intersections with two-way left-turn lanes. They found that out of 4,512 collisions at intersections with raised medians, 2,202 were rear-end collisions, and out of 4,277 collisions at two-way left-turn lanes, 1,903 were rear-end collisions. Assuming these to be random samples of collisions from the two types of intersections, a 95% confidence interval for the difference between the proportions of collisions that are of the rear-end type at the two types of intersection. Does the confidence interval contradict the claim that the proportion of rear-end collisions is the same at both types of intersection? A) No B) Yes

5) Traffic engineers compared rates of traffic collisions at intersections with raised medians and rates at intersections with two-way left-turn lanes. They found that out of 4,512 collisions at intersections with raised medians, 2,202 were rear-end collisions, and out of 4,277 collisions at two-way left-turn lanes, 1,903 were rear-end collisions. Assuming these to be random samples of collisions from the two types of intersections, a 95% confidence interval for the difference between the proportions of collisions that are of the rear-end type at the two types of intersection. Does the confidence interval contradict the claim that the proportion of rear-end collisions is the same at both types of intersection? A) No B) Yes

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.

Question

5) Traffic engineers compared rates of traffic collisions at intersections with raised
medians and rates at intersections with two-way left-turn lanes. They found that out of
4,512 collisions at intersections with raised medians, 2,202 were rear-end collisions,
5)
and out of 4,277 collisions at two-way left-turn lanes, 1,903 were rear-end collisions.
Assuming these to be random samples of collisions from the two types of intersections,
a 95% confidence interval for the difference between the proportions of collisions that
are of the rear-end type at the two types of intersection. Does the confidence interval
contradict the claim that the proportion of rear-end collisions is the same at both types
of intersection?
A) No
B) Yes

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