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.   View the chi-square distribution table.         Color of Helmet         Black White Yellow Red Blue     Controls​ (not injured)   479 372 27 151 77     Cases​ (injured or​ killed)   202 116 7 65 38       Compute the test statistic.   ___________ ​(Round to three decimal places as​ needed.) Find the critical​ value(s).   _____________ ​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)

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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.
 
View the chi-square distribution table.
 
 
 
 
Color of Helmet
 
 
 
 
Black
White
Yellow
Red
Blue
 
 
Controls​ (not injured)
 
479
372
27
151
77
 
 
Cases​ (injured or​ killed)
 
202
116
7
65
38
 
 
 
Compute the test statistic.
 
___________
​(Round to three decimal places as​ needed.)
Find the critical​ value(s).
 
_____________
​(Round to three decimal places as needed. Use a comma to separate answers as​ needed.)
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