find the critical value.  compute the test satistic. what is the conclusion based off of the hypothesis test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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find the critical value. 

compute the test satistic.

what is the conclusion based off of the hypothesis test?

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 a0.01 significance level, test the claim that injuries are independent of helmet color.
Color of Helmet
Blue
94
Yellow
Red
White
353
113
Black
171
71
31
Controls (not injured)
Cases (injured or
killed)
485
215
44
Click here to view the chi-square distribution table
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)
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 a0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Blue 94 Yellow Red White 353 113 Black 171 71 31 Controls (not injured) Cases (injured or killed) 485 215 44 Click here to view the chi-square distribution table 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)
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
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
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
Transcribed Image Text: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 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 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
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