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) 464 330 26 162 103 203 107 7 67 50 Chi-square distribution table 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 Area to the Right of the Critical Va Degrees of Freedom H,: Injuries and helmet color are independent 0.995 0.99 0.975 0.95 0.90 0.10 O B. Ho: Whether a crash occurs and helmet color are dependent 1 0.001 0.004 0.016 2.706 H,: Whether a crash occurs and helmet color are independent 2 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 6.251 O C. Ho: Whether a crash occurs and helmet color are independent 0.207 0.412 0.297 0.554 4 0.484 0.711 1.064 7.779 H1: Whether a crash occurs and helmet color are dependent 5 0.831 1.145 1.610 9.236 6 0.676 0.872 1.237 1.635 2.204 10.645 D. Ho: Injuries and helmet color are independent 1.690 2.180 7 0.989 1.239 2.167 2.833 12.01 H1: Injuries and helmet color are dependent 8 1.344 1.646 2.733 3.490 13.362 1.735 2.156 14.68 15.98 2.088 2.700 3.325 4.168 Compute the test statistic. 10 2.558 3.247 3.940 4.865 (Round to three decimal places as needed.) Print Done Enter your answer in the answer box and then click Check Answer.
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) 464 330 26 162 103 203 107 7 67 50 Chi-square distribution table 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 Area to the Right of the Critical Va Degrees of Freedom H,: Injuries and helmet color are independent 0.995 0.99 0.975 0.95 0.90 0.10 O B. Ho: Whether a crash occurs and helmet color are dependent 1 0.001 0.004 0.016 2.706 H,: Whether a crash occurs and helmet color are independent 2 0.010 0.020 0.051 0.103 0.211 4.605 3 0.072 0.115 0.216 0.352 0.584 6.251 O C. Ho: Whether a crash occurs and helmet color are independent 0.207 0.412 0.297 0.554 4 0.484 0.711 1.064 7.779 H1: Whether a crash occurs and helmet color are dependent 5 0.831 1.145 1.610 9.236 6 0.676 0.872 1.237 1.635 2.204 10.645 D. Ho: Injuries and helmet color are independent 1.690 2.180 7 0.989 1.239 2.167 2.833 12.01 H1: Injuries and helmet color are dependent 8 1.344 1.646 2.733 3.490 13.362 1.735 2.156 14.68 15.98 2.088 2.700 3.325 4.168 Compute the test statistic. 10 2.558 3.247 3.940 4.865 (Round to three decimal places as needed.) Print Done Enter your answer in the answer box and then click Check Answer.
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ISBN:9781119256830
Author:Amos Gilat
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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)
464
330
26
162
103
203
107
7
67
50
Chi-square distribution table
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
Area to the Right of the Critical Valu
H,: Injuries and helmet color are independent
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
O B. Ho: Whether a crash occurs and helmet color are dependent
1
0.001
0.004
0.016
2.706
2
0.010
0.020
0.051
0.103
0.211
4.605
H4: Whether a crash occurs and helmet color are independent
0.072
0.115
0.216
0.352
0.584
6.251
O C. Ho: Whether a crash occurs and helmet color are independent
4
0.207
0.297
0.484
0.711
1.064
7.779
H1: Whether a crash occurs and helmet color are dependent
0.412
0.554
0.831
1.145
1.610
9.236
6
0.676
0.872
1.237
1.635
2.204
10.645
OD. Ho: Injuries and helmet color are independent
7
0.989
1.239
1.690
2.167
2.833
12.017
H1: Injuries and helmet color are dependent
8
1.344
1.646
2.180
2.733
3.490
13.362
9
1.735
2.088
2.700
3.325
4.168
14.684
Compute the test statistic
10
2.156
2.558
3.247
3.940
4.865
15.987
(Round to three decimal places as needed.)
Print
Done
Enter your answer in the answer box and then click Check Answer.
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