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 0.05 significance​ level, test the claim that injuries are independent of helmet color.     Color of Helmet         Black White Yellow Red Blue     Controls​ (not injured)   501 372 33 174 71     Cases​ (injured or​ killed)   217 116 9 72 34   Identify the null and alternative hypotheses. Compute the test statistic. Find the critical​ value(s). What is the conclusion based on the hypothesis​ test?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.5: Choosing A Data Display
Problem 19E
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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 0.05 significance​ level, test the claim that injuries are independent of helmet color.

 
 
Color of Helmet
 
 
 
 
Black
White
Yellow
Red
Blue
 
 
Controls​ (not injured)
 
501
372
33
174
71
 
 
Cases​ (injured or​ killed)
 
217
116
9
72
34
 

Identify the null and alternative hypotheses.

Compute the test statistic.

Find the critical​ value(s).
What is the conclusion based on the hypothesis​ test?
 
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