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. Black 489 215 Color of Helmet Yellow 37 9 White 381 110 Controls (not injured) Cases (injured or killed) Click here to view the chi-square distribution table. Red 169 72 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OB. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent OC. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OD. Ho: Injuries and helmet color are independent H₁: Injuries and helmet color are dependent Blue 62 30 D Compute the test statistic. 0 (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 s 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.
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. Black 489 215 Color of Helmet Yellow 37 9 White 381 110 Controls (not injured) Cases (injured or killed) Click here to view the chi-square distribution table. Red 169 72 Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: Injuries and helmet color are dependent H₁: Injuries and helmet color are independent OB. Ho: Whether a crash occurs and helmet color are independent H₁: Whether a crash occurs and helmet color are dependent OC. Ho: Whether a crash occurs and helmet color are dependent H₁: Whether a crash occurs and helmet color are independent OD. Ho: Injuries and helmet color are independent H₁: Injuries and helmet color are dependent Blue 62 30 D Compute the test statistic. 0 (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 s 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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
var1 Black White Yellow Red Blue
Controls (not injured) 489 381 37 169 62
Cases (injured or killed) 215 110 9 72 30
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
White Yellow
381
37
110
9
Black
489
215
Controls (not injured)
Cases (injured or
killed)
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
H₁: Injuries and helmet color are independent
O B. Ho: Whether a crash occurs and helmet color are independent
H₁: Whether a crash occurs and helmet color are dependent
Red
169
72
O C. Ho: Whether a crash occurs and helmet color are dependent
H₁: Whether a crash occurs and helmet color are independent
O D. Ho: Injuries and helmet color are independent
H₁: Injuries and helmet color are dependent
Compute the test statistic.
(Round to three decimal places as needed.)
Find the critical value(s).
Blue
62
30
Q
(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.
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