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?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 X²statistic?

X2=E(0-E)2

____

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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