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 White Yellow Red Blue Controls (not injured) 486 376 31 158 83 Cases (injured or killed) 216 125 9 66 39 Identify the null and alternative hypotheses. Choose the correct answer below. Compute the test statistic.( round 3 decimal places) Find the critical value(s). (3 decimal places) 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 Black White Yellow Red Blue Controls (not injured) 486 376 31 158 83 Cases (injured or killed) 216 125 9 66 39 Identify the null and alternative hypotheses. Choose the correct answer below. Compute the test statistic.( round 3 decimal places) Find the critical value(s). (3 decimal places) What is the conclusion based on the hypothesis test?
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter11: Data Analysis And Displays
Section11.5: Choosing A Data Display
Problem 19E
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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
|
White
|
Yellow
|
Red
|
Blue
|
|
|
|
Controls (not injured)
|
|
486
|
376
|
31
|
158
|
83
|
|
|
|
Cases (injured or killed)
|
|
216
|
125
|
9
|
66
|
39
|
Identify the null and alternative hypotheses. Choose the correct answer below.
Compute the test statistic.( round 3 decimal places)
Find the critical value(s). (3 decimal places)
What is the conclusion based on the hypothesis test?
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