10.31 Gambling and alcohol use by first-year college students. Gambling and alco

Question

10.31 Gambling and alcohol use by first-year college students. Gambling and alcohol use are problematic behaviors for many college students. One study looked at 908 first-year students from a large northeastern univer- sity.1 Each participant was asked to fill out the 10-item Alcohol Use Disorders Identification Test (AUDIT) and a 7-item inventory used in prior gambling research among college students. AUDIT assesses alcohol consumption and other alcohol-related risks and problems (a higher score means more risks). A correlation of 0.29 was reported be tween the frequency of gambling and the AUDIT score. (a) What percent of the variability in AUDIT score is explained by frequency of gambling? (b) Test the null hypothesis that the correlation between the gambling frequency and the AUDIT score is zero

Explanation / Answer

a) R-squared is a statistical measure of how close the data are to the fitted regression line. ... 0% indicates that the model explains none of the variability of the response data around its mean. 100% indicates that the model explains all the variability of the response data around its mean.

R^2 = 0.29^2 = 0.0841

% variability explained = 8.41%

b) Ho: p = 0

H1: p 0

Assuming alpha = 0.05

Critical value of r = 0.065

0.29 > 0.065

Null cannot be rejected.

Sufficient evidence to conlude that correlation is zero

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