In a study of high school students at least 16 years of age, researchers obtained the survey results summarized in the table below (based on data from “Texting While Driving and Other Risk Motor Vehicle Behaviors Among U.S. High School Students” by O’Malley, Shults, and Eaton, Pediatrics, 131, No.6).       Irregular Seat Belt Use?                                   Yes No     RT Texted While Driving 1737 2048 3785     Did not Text While Driving 1945 2775 4720       Column total                             3682                   4823 8505     State the null and alternative hypotheses. Null hypothesis: H0 Texting when driving is independent of irregular seat belt use. Alternative hypothesis: Texting when driving is dependent of irregular seat belt use. Assuming independence, what are the expected frequencies for each of these variables?   E=(row total)(column total)               (grand total)   What is the value of the X2 statistic?   X2=E(0-E)2          ____             E     Use a 0.05 significance level to test the claim of independence between texting while driving and irregular seat belt use. Are those two risky behaviors independent of each other?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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  1. In a study of high school students at least 16 years of age, researchers obtained the survey results summarized in the table below (based on data from “Texting While Driving and Other Risk Motor Vehicle Behaviors Among U.S. High School Students” by O’Malley, Shults, and Eaton, Pediatrics, 131, No.6).

 

 

 

Irregular Seat Belt Use?

                                 

Yes

No     RT

Texted While Driving

1737

2048 3785    

Did not Text While Driving

1945

2775 4720

      Column total                             3682                   4823 8505

 

 

  1. State the null and alternative hypotheses.

Null hypothesis: H0 Texting when driving is independent of irregular seat belt use.

Alternative hypothesis: Texting when driving is dependent of irregular seat belt use.

  1. Assuming independence, what are the expected frequencies for each of these variables?

 

E=(row total)(column total)

              (grand total)

 

  1. What is the value of the X2 statistic?

 

X2=E(0-E)2

         ____

            E

 

 

  1. Use a 0.05 significance level to test the claim of independence between texting while driving and irregular seat belt use. Are those two risky behaviors independent of each other?

 

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