Week 11 Assignment (1)

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Jan 9, 2024

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1 Chi-Square Week 11 Assignment: Chi-Square Iown Fields Department of Health Psychology. National University PSY-7104: Statistics 1 Dr. Jo Brooke Professor December 6, 2023
2 Chi-Square In a study based on high school students at least 16 years of age, researchers obtained the survey results summarized in a table based on data from “Texting while driving and other risk motor vehicle behaviors among U.S. High School Students” Irregular Seat Belt Use? Yes No Texted While driving 1737 2048 Did not Text While Driving 1945 2775 State the null and alternative hypotheses Null Hypothesis ( Hₒ ) Texting while driving and irregular seat belt use are independent of each other Alternative Null Hypothesis ( ) Texting while driving and irregular seat belt use are not independent of each other 1. Assuming independence, what are the expected frequencies of each of these variables, and whether they are related Chi-Square test of independence: ( x²) = Ʃ (0-E)÷E ) ² Yes Observed (fre ob) No Texted - 1737 Texted- 2048 =3785 Total No Text-1945 No Text 2775=4720
3 Chi-Square Total- 3682 Total—4823= 8505 Expected ( fe ) expected frequency Yes No Texted -1638.61 Texted-2146.36 = 3785 No Text 2043.39 No Text-2676.6 = 3785 Total =3682 + Total=4823 = 8505 Chi-square = ( fo -fe ) ˆ2/ fe Yes No Text = 5.91 4.51 = Total: 10.42 No text=4.74 3.62 = 8.35 Total: 10.65 Total: 8.13 = 18.77 Test Statistic Chi Square = 18.77 df = (r -1) (c-1) r=rows c = columns df= (2-1) (2-1) =1 critical chi square = (0.05),1) =3.84 2. What is the value of the X 2 Xˆ²=Ʃ(O-E) ˆ2/E Xˆ2 = (1737- 1838.5) ˆ2 / 1838.5 + (2048 -1944.5) ˆ2 / 1944.5 + 1945
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