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) 472 335 25 159 106 Cases (injured or killed) 203 99 7 68 50 View the chi-square distribution table. Chi-square distribution table Dialog content starts Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 5 0.412 0.554 0.831 1.145 1.610 9.236 11.071 12.833 15.086 16.750 6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188 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.)
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) 472 335 25 159 106 Cases (injured or killed) 203 99 7 68 50 View the chi-square distribution table. Chi-square distribution table Dialog content starts Area to the Right of the Critical Value Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 5 0.412 0.554 0.831 1.145 1.610 9.236 11.071 12.833 15.086 16.750 6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188 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.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Section 11.2 Question #12
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.
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|
|
Color of Helmet
|
|
|
||||
|---|---|---|---|---|---|---|---|---|
|
|
|
Black
|
White
|
Yellow
|
Red
|
Blue
|
|
|
|
Controls (not injured)
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|
472
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335
|
25
|
159
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106
|
|
|
|
Cases (injured or killed)
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|
203
|
99
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7
|
68
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50
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|
View the chi-square distribution table.
Chi-square distribution table
Dialog content starts
Area to the Right of the Critical Value
|
Degrees of Freedom
|
0.995
|
0.99
|
0.975
|
0.95
|
0.90
|
0.10
|
0.05
|
0.025
|
0.01
|
0.005
|
|---|---|---|---|---|---|---|---|---|---|---|
|
1
|
-
|
-
|
0.001
|
0.004
|
0.016
|
2.706
|
3.841
|
5.024
|
6.635
|
7.879
|
|
2
|
0.010
|
0.020
|
0.051
|
0.103
|
0.211
|
4.605
|
5.991
|
7.378
|
9.210
|
10.597
|
|
3
|
0.072
|
0.115
|
0.216
|
0.352
|
0.584
|
6.251
|
7.815
|
9.348
|
11.345
|
12.838
|
|
4
|
0.207
|
0.297
|
0.484
|
0.711
|
1.064
|
7.779
|
9.488
|
11.143
|
13.277
|
14.860
|
|
5
|
0.412
|
0.554
|
0.831
|
1.145
|
1.610
|
9.236
|
11.071
|
12.833
|
15.086
|
16.750
|
|
6
|
0.676
|
0.872
|
1.237
|
1.635
|
2.204
|
10.645
|
12.592
|
14.449
|
16.812
|
18.548
|
|
7
|
0.989
|
1.239
|
1.690
|
2.167
|
2.833
|
12.017
|
14.067
|
16.013
|
18.475
|
20.278
|
|
8
|
1.344
|
1.646
|
2.180
|
2.733
|
3.490
|
13.362
|
15.507
|
17.535
|
20.090
|
21.955
|
|
9
|
1.735
|
2.088
|
2.700
|
3.325
|
4.168
|
14.684
|
16.919
|
19.023
|
21.666
|
23.589
|
|
10
|
2.156
|
2.558
|
3.247
|
3.940
|
4.865
|
15.987
|
18.307
|
20.483
|
23.209
|
25.188
|
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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