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) 491 354 35 162 101 cases (injured or killed) 219 113 8 68 49 Identify the null and alternative hypotheses. The test statistic ___ rounding to three decimal places. The critical value is χ2 ___

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
Section: Chapter Questions
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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) 491 354 35 162 101
cases (injured or killed) 219 113 8 68 49

Identify the null and alternative hypotheses.

The test statistic ___ rounding to three decimal places.

The critical value is χ2 ___

 

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