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Press esc to exit full screen Page 2 of 11 - ZOOM 1. (5 points) (Source: Alan Agresti) In a study designed to evaluate
Press esc to exit full screen Page 2 of 11 - ZOOM 1. (5 points) (Source: Alan Agresti) In a study designed to evaluate whether an educational program makes sexually active adolescents more likely to obtain condoms, adolescents were randomly assigned to two experimental groups. The educational program, involving a lecture and videotape about transmission of the HIV virus, was provided to one group (Group-Education) but not the other (Group-Control). The outcome was binary, with obtaining condoms being labeled as "success." The researchers fit a logistic regression model, relating the probability that a teenager obtains condoms to three binary variables gender, socioeconomic status, and experimental group and one quantitative variable lifetime number of partners. The table below summarizes the results of that model. Note that one number is omitted. Table 1: Odds Ratios from the Logistic Regression Model Variable Odds Ratio 95% Confidence Interval Experimental Group (Education vs. Control) Gender (Male vs. Female). 4.04 (1.17, 13.9) 3.98 (1.23, 12.88) Socioeconomic Status (High vs. Low) (1.57, 17.98) Lifetime number of partners 3.22 (1.08, 11.31) (a) (1 point) Interpret the odds ratio for the Experimental Group effect, in the context of the problem. (b) (1 point) Interpret the odds ratio for the Lifetime number of partners effect, in the context of the problem. + Page < 3 of 11 (c) (2 points) What are the estimated model coefficient (i.e., the associated B) and the standard error of that coefficient (i.e., the associated S.E. (B)) for the effect of Experimental Group? - ZOOM + (d) (1 point) What is the odds ratio associated with Socioeconomic Status (i.e., the missing value in the table)?
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