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)   459 343 31 161 94     Cases​ (injured or​ killed)   204 109 7 69 44     Compute the test statistic. (round three decimal places) Find the critical​ value(s). (round three decimal places) What is the conclusion based on the hypothesis​ test?

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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)
 
459
343
31
161
94
 
 
Cases​ (injured or​ killed)
 
204
109
7
69
44
 
 

Compute the test statistic. (round three decimal places)

Find the critical​ value(s). (round three decimal places)

What is the conclusion based on the hypothesis​ test?
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