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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 0.01 significance level, test the claim that injuries are independent of helmet color. Black 489 201 White 377 Color of Helmet Yellow 28 Red 158 Blue 92 Controls (not injured) Cases (injured or killed) 117 8 67 45 Click here to view the chi-square distribution table. 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?

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 489 201 White 377 Color of Helmet Yellow 28 Red 158 Blue 92 Controls (not injured) Cases (injured or killed) 117 8 67 45 Click here to view the chi-square distribution table. 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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
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 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet Black 489 White Yellow Blue Red 158 Controls (not injured) Cases (injured or killed) 377 28 92 201 117 8 67 45 Click here to view the chi-square distribution table. 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?
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 Black 489 White Yellow Blue Red 158 Controls (not injured) Cases (injured or killed) 377 28 92 201 117 8 67 45 Click here to view the chi-square distribution table. 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?
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 377 Yellow 28 Red 158 Black Blue Controls (not injured) Cases (injured or killed) 489 92 201 117 8 67 45 Click here to view the chi-square distribution table. O A. Ho: Injuries and helmet color are independent H1: Injuries and helmet color are dependent O B. Ho: Injuries and helmet color are dependent H,: Injuries and helmet color are independent O C. Hp: Whether a crash occurs and helmet color are independent H1: Whether a crash occurs and helmet color are dependent O D. Ho: Whether a crash occurs and helmet color are dependent H,: Whether a crash occurs 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 0.01 significance level, test the claim that injuries are independent of helmet color. Color of Helmet White 377 Yellow 28 Red 158 Black Blue Controls (not injured) Cases (injured or killed) 489 92 201 117 8 67 45 Click here to view the chi-square distribution table. O A. Ho: Injuries and helmet color are independent H1: Injuries and helmet color are dependent O B. Ho: Injuries and helmet color are dependent H,: Injuries and helmet color are independent O C. Hp: Whether a crash occurs and helmet color are independent H1: Whether a crash occurs and helmet color are dependent O D. Ho: Whether a crash occurs and helmet color are dependent H,: Whether a crash occurs and helmet color are independent
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