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Detection of motorcycles while driving. Motorcycle
Chapter 7, Problem 78E(choose chapter or problem)
Problem 78E
Detection of motorcycles while driving. Motorcycle fatalities have increased dramatically over the past decade. As a result, manufacturers of powered two-wheelers (PTWs) are tweaking with their design in order to improve visibility by automobile drivers. The factors that impact the visibility of PTWs on the road were investigated in Accident Analysis and Prevention (Vol. 44, 2012). A visual search study was conducted in which viewers were presented with pictures of driving scenarios and asked to identify the presence or absence of a PTW. Of interest to the researchers is the detection rate, i.e., the proportion of pictures showing a PTW in which the viewer actually detected the presence of the PTW. Suppose that, in theory, the true detection rate for pictures of PTWs is .70. The study revealed that in a sample of 2,376 pictures that included a PTW, only 1,554 were detected by the viewers. Use this results to test the theory at = .10.
Questions & Answers
QUESTION:
Problem 78E
Detection of motorcycles while driving. Motorcycle fatalities have increased dramatically over the past decade. As a result, manufacturers of powered two-wheelers (PTWs) are tweaking with their design in order to improve visibility by automobile drivers. The factors that impact the visibility of PTWs on the road were investigated in Accident Analysis and Prevention (Vol. 44, 2012). A visual search study was conducted in which viewers were presented with pictures of driving scenarios and asked to identify the presence or absence of a PTW. Of interest to the researchers is the detection rate, i.e., the proportion of pictures showing a PTW in which the viewer actually detected the presence of the PTW. Suppose that, in theory, the true detection rate for pictures of PTWs is .70. The study revealed that in a sample of 2,376 pictures that included a PTW, only 1,554 were detected by the viewers. Use this results to test the theory at = .10.
ANSWER:
Solution 78E
Step1 of 2:
From the given problem we have:
x = 1554,
n = 2376,
and
= 0.30.
We need to check whether the data provide sufficient evidence to conclude that the true detection rate for pictures of PTW is different from 0.70 at
Step2 of 2:
Let,
= 0.6540
Therefore,