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) 477 213 333 108 30 8 165 68 76 36 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H,: Whether a crash occurs and helmet color are independent O B. Ho: Injuries and helmet color are independent H: Injuries and helmet color are dependent OC. Ho: Whether a crash occurs and helmet color are independent H: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are dependent H: Injuries and helmet color are independent

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

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
White
Yellow
30
Black
Red
Blue
Controls (not injured)
Cases (injured or
killed)
477
333
165
76
213
108
8
68
36
Click here to view the chi-square distribution table.
Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: Whether a crash occurs and helmet color are dependent
H: Whether a crash occurs and helmet color are independent
O B. Hn: Injuries and helmet color are independent
H1: Injuries and helmet color are dependent
OC. Ho: Whether a crash occurs and helmet color are independent
H1: Whether a crash occurs and helmet color are dependent
O D. Ho: Injuries and helmet color are dependent
H: Injuries and helmet color are independent
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 White Yellow 30 Black Red Blue Controls (not injured) Cases (injured or killed) 477 333 165 76 213 108 8 68 36 Click here to view the chi-square distribution table. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: Whether a crash occurs and helmet color are dependent H: Whether a crash occurs and helmet color are independent O B. Hn: Injuries and helmet color are independent H1: Injuries and helmet color are dependent OC. Ho: Whether a crash occurs and helmet color are independent H1: Whether a crash occurs and helmet color are dependent O D. Ho: Injuries and helmet color are dependent H: Injuries and helmet color are independent
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