Question

15-16. In a study of high school students at least 16 years of age, researchers obtained survey results summarized in the accompanying table (based on data from "Texting While Driving and Other Risky Motor Vehicle Behaviors Among U.S. High School Students”, by O'Malley, Shults, and Eaton, Pediatrics, Vol. 131, No. 6). Use a 0.05 significance level to test the claim of independence betwecn texting while driving and irregular seatbelt use. Irregular Seatbelt Use? Yes No Texted While Driving 1737 2048 No Texting While Driving 1945 2775

Please show work step by step and round final answers to 4 decimals. Thank you.

Answer 1

sunny from the observed data in a survey of high school students at least 16 years of age researchers obtained have the claim of independence blo texting while driving and irregular seat bell use. use chin square Here rest or independence. table becomes. to test Here 2x2 Here contengency Irresular seat belt use YES NO texted while driving 1737 2049 atb: 3785 No text white drining 1945 late=3682 2775 b+d=4823 ced=4720 atbtctd EN: 8505 9-1737 I b=2048 d=2775 8505 Here are c=1945 Na a+b+c+d Ho: Texting while driving and irregular seat belt use independent Ha: texting while driving and irresular seat belt use independent Rejection Region :- Thelevel of dignificance & = 0.05 Degrees of freedom are not df - (2-1) *(2-1) 21 = 3.8414 1,0.05 Rejection Resien R = {x, 86 >384143

The test x² ~x², statistic ib. N (ad-bc)² (a+b)(b +d) (c+d) (a +c) 8505 (1737 x 2775 1945)? (1737+2048) ( 2048 +2715) (1945+2725) (113771945) 2048 * 1945 Xocal - 18.7725 = 3.8414 Elab = x 1,0.05 x²cal > xlab conclusion Since Texting while use no아 we reject Ho at sy level do significance. deining and irresular seat belt independent are E this answer will I hope please helpful for you hard work for my up- vole give