356 35 156 100 Cases (injured or killed) 210 109 9 66 49
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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Question
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worn by motorcycle drivers and whether they are injured or killed in a crash. Results are given in the accompanying table. Using a
0.01
significance level, test the claim that injuries are independent of helmet color.
|
|
Color of Helmet
|
|
|
||||
---|---|---|---|---|---|---|---|---|
|
|
Black
|
White
|
Yellow
|
Red
|
Blue
|
|
|
Controls (not injured)
|
|
471
|
356
|
35
|
156
|
100
|
|
|
Cases (injured or killed)
|
|
210
|
109
|
9
|
66
|
49
|
|
|
Click here to view the chi-square distribution table.
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Identify the null and alternative hypotheses. Choose the correct answer below.
H0:
Injuries and helmet color are dependentH1:
Injuries and helmet color are independentH0:
Whether a crash occurs and helmet color are dependentH1:
Whether a crash occurs and helmet color are independentH0:
Injuries and helmet color are independentH1:
Injuries and helmet color are dependentH0:
Whether a crash occurs and helmet color are independentH1:
Whether a crash occurs and helmet color are dependentCompute the test statistic.
nothing
(Round to three decimal places as needed.)
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