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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
Question

var1    Black    White    Yellow    Red    Blue
Controls (not injured)    489    381    37    169    62
Cases (injured or killed)    215    110    9    72    30

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.
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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