vas conducted to investigate a relationship at injuries are independent of helmet color. Color of Helmet Yellow 27 White Red Blue 362 166 69 68 117 8 33

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

8.

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)
Cases (injured or
killed)
468
362
27
166
68
197
117
69
33
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Injuries and helmet color are independent
H1: Injuries and helmet color are dependent
B. Ho: Injuries and helmet color are dependent
H1: Injuries and helmet color are independent
O C. Ho: Whether a crash occurs and helmet color are dependent
H,: Whether a crash occurs and helmet color are independent
D. Ho: Whether a crash occurs and helmet color are independent
H1: Whether a crash occurs 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 to separate answers as needed.)
What is the conclusion based on the hypothesis test?
Ho. There
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 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) Cases (injured or killed) 468 362 27 166 68 197 117 69 33 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Injuries and helmet color are independent H1: Injuries and helmet color are dependent B. Ho: Injuries and helmet color are dependent H1: Injuries and helmet color are independent O C. Ho: Whether a crash occurs and helmet color are dependent H,: Whether a crash occurs and helmet color are independent D. Ho: Whether a crash occurs and helmet color are independent H1: Whether a crash occurs 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 to separate answers as needed.) What is the conclusion based on the hypothesis test? Ho. There 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

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON