A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets wom 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 White 353 Black Yellow Red Blue Controls (not injured) Cases (injured or killed) 502 34 163 94 - X Chi-square distribution table 223 104 67 45 Click here to view the chi-square distribution table. Area to the Right of the Critical Value Identify the null and alternative hypotheses. Choose the correct answer below. Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 O A. Ha: Injuries and helmet color are dependent 0.001 0.004 0.016 0.211 2.706 H: Injuries and helmet color are independent 2 0.010 0.020 0.051 0.103 4.605 0.072 0.115 0.216 0.484 O B. Ho: Whether a crash occurs and helmet color are independent 0.352 0.584 6.251 4 0.207 0.297 0.711 1.064 7.779 H: Whether a crash occurs and helmet color are dependent 0.412 0.554 0.831 1.145 1.610 9.236 OC. Ho: Whether a crash occurs and helmet color are dependent 6 0.676 0.872 1.237 1.635 2.204 10.645 0.989 1.239 1.690 2.180 2.700 H: Whether a crash occurs and helmet color are independent 2.167 2.833 12.017 1.344 1.646 2.733 3.490 13.362 O D. Ho: Injuries and helmet color are independent 1.735 2.088 3.325 4.168 14.684 H: Injuries and helmet color are dependent 10 2,156 2.558 3.247 3.940 4.865 15.987 Compute the test statistic. (Round to three decimal places as needed.) Print Done Find the critical value(s).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
100%
Help I need in an hour
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worm 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
White
Black
502
Red
163
Blue
Controls (not injured)
Cases (injured or
killed)
353
34
94
- X
223
Chi-square distribution table
104
9
67
45
Click here to view the chi-square distribution table
.....
Area to the Right of the Critical Value
Identify the null and alternative hypotheses. Choose the correct answer below.
Degrees of
Freedom
0.995
0.99
0.975
0.95
0.90
0.10
O A. Hg: Injuries and helmet color are dependent
1.
0.001
0.004
0.016
2.706
H1: Injuries and helmet color are independent
2
0.010
0.020
0.051
0.103
0.211
4.605
0.072
0.115
0.216
0.352
0.584
6.251
O B. Ho: Whether a crash occurs and helmet color are independent
H: Whether a crash occurs and helmet color are dependent
4
0.207
0.297
0.484
0.711
1.064
7.779
0.412
0.554
0.831
1.145
1.610
9.236
C. Ho: Whether a crash occurs and helmet color are dependent
6
0.676
0.872
1.237
1.635
2.204
10.645
H: Whether a crash occurs and helmet color are independent
0.989
1.239
1.690
2.167
2.833
12.017
8
1.344
1.646
2.180
2.733
3.490
13.362
O D. Hg: Injuries and helmet color are independent
H: Injuries and helmet color are dependent
9
1.735
2.088
2.700
3.325
4.168
14.684
10
2.156
2.558
3.247
3.940
4.865
15.987
Compute the test statistic.
(Round to three decimal places as needed.)
Print
Done
Find the critical value(s).
Transcribed Image Text:A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worm 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 White Black 502 Red 163 Blue Controls (not injured) Cases (injured or killed) 353 34 94 - X 223 Chi-square distribution table 104 9 67 45 Click here to view the chi-square distribution table ..... Area to the Right of the Critical Value Identify the null and alternative hypotheses. Choose the correct answer below. Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 O A. Hg: Injuries and helmet color are dependent 1. 0.001 0.004 0.016 2.706 H1: Injuries and helmet color are independent 2 0.010 0.020 0.051 0.103 0.211 4.605 0.072 0.115 0.216 0.352 0.584 6.251 O B. Ho: Whether a crash occurs and helmet color are independent H: Whether a crash occurs and helmet color are dependent 4 0.207 0.297 0.484 0.711 1.064 7.779 0.412 0.554 0.831 1.145 1.610 9.236 C. Ho: Whether a crash occurs and helmet color are dependent 6 0.676 0.872 1.237 1.635 2.204 10.645 H: Whether a crash occurs and helmet color are independent 0.989 1.239 1.690 2.167 2.833 12.017 8 1.344 1.646 2.180 2.733 3.490 13.362 O D. Hg: Injuries and helmet color are independent H: Injuries and helmet color are dependent 9 1.735 2.088 2.700 3.325 4.168 14.684 10 2.156 2.558 3.247 3.940 4.865 15.987 Compute the test statistic. (Round to three decimal places as needed.) Print Done Find the critical value(s).
A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worm 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
White
Yellow
Blue
94
Black
Red
Controls (not injured)
Cases (Injured or
killed)
502
353
34
163
223
104
9
67
45
Click here to view the chi-square distribution table.
n. au I D U IIR UUI U UUIU
OC. Ho: Whether a crash ocours and helmet color are dependent
H: Whether a crash occurs and helmet color are independent
O D. Ha: 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
separate answers as needed.)
What is the conclusion based on the hypothesis test?
V Ho. There
V sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
Transcribed Image Text:A case-control (or retrospective) study was conducted to investigate a relationship between the colors of helmets worm 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 White Yellow Blue 94 Black Red Controls (not injured) Cases (Injured or killed) 502 353 34 163 223 104 9 67 45 Click here to view the chi-square distribution table. n. au I D U IIR UUI U UUIU OC. Ho: Whether a crash ocours and helmet color are dependent H: Whether a crash occurs and helmet color are independent O D. Ha: 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 separate answers as needed.) What is the conclusion based on the hypothesis test? V Ho. There V sufficient evidence to warrant rejection of the claim that injuries are independent of helmet color.
Expert Solution
steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman