eab_703_psc12

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University of Nevada, Las Vegas *

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703

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Statistics

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Jan 9, 2024

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docx

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3

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EAB 703 Problem Set c12 NOTE: Assume we are testing at α = 0.05 for all statistical tests The local health district conducted a workshop for teenagers to educate them about sexually transmitted infections (STIs). For 16 year-olds, 21 attended; for 17 year-olds, 50 attended; for 18 year-olds, 44 attended; and for 19 year-olds, 40 attended. Is there evidence to suggest that the number of teenagers who attended were equally distributed across the four age groups? Ho: The number of teenagers who attended were equally distributed across the four age groups Ha: The number of teenagers who attended were not equally distributed across the four age groups Test statistic & value: , X 2 = 12.148 p-value: 0.0069 Effect Size 0.28 Statistical conclusion: Since p-value < 0.05, we reject the null hypothesis. Written conclusion: At 0.05 level of significance , there is sufficient evidence to suggest that number of teenagers who attended were not equally distributed across the four age groups .
The following table shows 200 males classified according to social class and headache status measured over the past 12 months. Social Class Headache group A B C No headaches 6 30 22 Simple headaches 11 35 17 Unilateral headache 4 19 14 Migraine 5 25 12 Are social class and headache group related based on these data? Ho: Two categorial variables are independent. Ha: Two categorical variables are dependent. Test statistic & value: Chi-square test, X 2 = 3.45 p-value: 0.7505 Effect Size 12.592 Statistical conclusion: Since p-value > 0.05, we accept the null hypothesis. Written conclusion: Since, p-value > 0.05 and observed test statistic < critical value, at 0.05 level of significance, we do not have enough evidence to reject the null hypothesis. Hence, we can conclude that the categorical variables are independent.
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