Compute the test statistic=. decimal places as needed) Find the critical value(s)=. decimal places as needed. Use a comma to separate answers as needed) What is the conclusion based on the hypothesis? HO. There rejection of the claim that injuries are independent of (Round to three (Round to three sufficient evidence to warrant helmet color.

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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
Yellow
Red
Blue
Controls (not injured)
Cases (Injured or
killed)
478
366
106
26
157
71
196
7
66
34
i Chi-square distribution table
Click here to view the chi-square distribution table.
Identify the null and alternative hypotheses. Choose the correct answer below.
Area to the Right of the Critical Value
O A. Ho: Whether a crash occurs and helmet color are dependent
Degrees of
Freedom
H,: Whether a crash occurs and helmet color are independent
0.995
0.99
0.975
0.95
0.90
0.10
1
0.001
0.004
0.016
2.706
O B. Ho: Injuries and helmet color are dependent
0.010
0.020
0.051
0.103
0.211
4.605
H1: Injuries and helmet color are independent
0.072
0.115
0.216
0.352
0.584
6.251
0.207
0.297
0.484
0.711
1.064
7.779
O C. Ho: Injuries and helmet color are independent
H: Injuries and helmet color are dependent
0.412
0.554
0.831
1.145
1.610
9.236
0.676
0.872
1.237
1.635
2.167
2.204
10.645
0.989
1.239
1.690
2.833
12.017
D. Ho: Whether a crash occurs and helmet color are independent
1.344
1.646
2.180
2.733
3.490
13.362
1.735
2.088
2.700
3.325
4.168
14.684
H,: Whether a crash occurs and helmet color are dependent
10
2.156
2.558
3.247
3.940
4.865
15.987
Print
Done
N3456789n
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 Yellow Red Blue Controls (not injured) Cases (Injured or killed) 478 366 106 26 157 71 196 7 66 34 i Chi-square distribution table Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. Area to the Right of the Critical Value O A. Ho: Whether a crash occurs and helmet color are dependent Degrees of Freedom H,: Whether a crash occurs and helmet color are independent 0.995 0.99 0.975 0.95 0.90 0.10 1 0.001 0.004 0.016 2.706 O B. Ho: Injuries and helmet color are dependent 0.010 0.020 0.051 0.103 0.211 4.605 H1: Injuries and helmet color are independent 0.072 0.115 0.216 0.352 0.584 6.251 0.207 0.297 0.484 0.711 1.064 7.779 O C. Ho: Injuries and helmet color are independent H: Injuries and helmet color are dependent 0.412 0.554 0.831 1.145 1.610 9.236 0.676 0.872 1.237 1.635 2.167 2.204 10.645 0.989 1.239 1.690 2.833 12.017 D. Ho: Whether a crash occurs and helmet color are independent 1.344 1.646 2.180 2.733 3.490 13.362 1.735 2.088 2.700 3.325 4.168 14.684 H,: Whether a crash occurs and helmet color are dependent 10 2.156 2.558 3.247 3.940 4.865 15.987 Print Done N3456789n
Compute the test statistic=.
decimal places as needed)
Find the critical value(s)=.
decimal places as needed. Use a comma to separate
answers as needed)
What is the conclusion based on the hypothesis?
(Round to three
(Round to three
HO. There
sufficient evidence to warrant
rejection of the claim that injuries are independent of
helmet color.
Transcribed Image Text:Compute the test statistic=. decimal places as needed) Find the critical value(s)=. decimal places as needed. Use a comma to separate answers as needed) What is the conclusion based on the hypothesis? (Round to three (Round to three HO. There sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
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