A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets won 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 Yellow 29 Blue 99 Black White 351 Red Controls (not injured) Cases (injured or killed) 160 66 477 198 102 8 47 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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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 0.01 significance level, test
the claim that injuries are independent of helmet color.
Color of Helmet
Black
White
Blue
Yellow
29
Red
Controls (not injured)
Cases (injured or
killed)
477
198
351
102
160
99
66
47
Click here to view the chi-square distribution table,
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Injuries and helmet color are dependent
H,: Injuries and helmet color are independent
O B. Ho: Whether a crash occurs and helmet color are independent
H,: Whether a crash occurs and helmet color are dependent
OC. Ho: Whether a crash occurs and helmet color are dependent
H: Whether a crash occurs and helmet color are independent
O D. Ho: Injuries and helmet color are independent
H,: Injuries and helmet color are dependent
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.)
What is the conclusion based on the hypothesis test?
V Ho. There
V sufficient evidence
warrant rejection of the claim that injuries are independent of helmet color.
Click to select your answer(s)
P Type here to search
Esc
DII
Prt
F3
F4
F5
16
17
@
%24
%23
2
3\
4.
5n
7.
Tab
W
Transcribed Image Text: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 Blue Yellow 29 Red Controls (not injured) Cases (injured or killed) 477 198 351 102 160 99 66 47 Click here to view the chi-square distribution table, Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Injuries and helmet color are dependent H,: Injuries and helmet color are independent O B. Ho: Whether a crash occurs and helmet color are independent H,: Whether a crash occurs and helmet color are dependent OC. Ho: Whether a crash occurs and helmet color are dependent H: Whether a crash occurs and helmet color are independent O D. Ho: Injuries and helmet color are independent H,: Injuries and helmet color are dependent 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.) What is the conclusion based on the hypothesis test? V Ho. There V sufficient evidence warrant rejection of the claim that injuries are independent of helmet color. Click to select your answer(s) P Type here to search Esc DII Prt F3 F4 F5 16 17 @ %24 %23 2 3\ 4. 5n 7. Tab W
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