Question

PSYC 2002C Complete workshor tling in all cells. For me plot be sure to include anxietiles, axirlabel andelen General background. The use of strong' illicit drugs (e.g., cocaine and heroin) has decreased among teens for the first time in decades. The rates of other risky behaviors, however, remain steady. A group of developmental psychologists were interested in the impact of several variables on risky sexual behaviors in teenagers. The data from two of their studies are below. Please complete all empty boxes in the tables below, and be sure to create means plots. First data analysis. Does alcohol use interact with gender to influence risky sexual behavior in teens? Researchers recruited 20 American teenagers to participate in a survey study (10 girls and 10 boys). The teens were then divided into 2 equally-sized groups based on their reported monthly alcohol usage: low vs. high. Results below show their score on a risky sexual behavior questionnaire (scores range from 15-90; higher scores indicate greater engagement in risky sexual behaviors). Means fable Means plor Alcohol use Marginal ments Gender Girl Boy Marginal Low 35.5 35.0 High 47.5 48.0 Mens Source of variability Two-way ANOVA summary table Critical F Is the effect M T value significant? YN Gender 418.1 Alcohol use 15000.0 T L Interaction 2111.3 Error 21300.3 Total 38829.7

Answer 1

Let me construct A NOVA table first 1. Two way ANOVA table Source I of variation af ss Ims If In² ' cortical Gender /2-1=1 41801 418.2.418 1.49 10.01 | 3.97 Alchohol use 2-Ell15000,o! 5000 15000 53.51 0.39 3.97 I signific | No 250.3 Interaction 1x1=1211113 2113 211.37.530.05| 3.97 | Error |2X2(204) 2 |213003 = 767 Total 12*2*20-1 38829,7 = 79 1 Gender has talo devel =) male e female af-2-1 Alchohol use has two level =) high & low gdf& 2-1 MS" 'F- ssgender) and so on SS[Erry n2 = ss effect ; Critical value SS Total : Robora a FC ddefjed, lesson) for 5% level of significance so f (1,76) = 3.97 at 0.05 level Si Scanned with CamScanner

1 since calculated fi < feritical) therefore we do not have enough evidence to rejed nell hypothesis on and conclude thast and this effect is not significant. 2) In this case, are got f» flertical) as 53.51 >>3.97 therefore we conclude that this effect is significant. 1. 3) This interaction effect is also significant because f> floritical) as 7.837 3.97 4) going through the results of A NOVA table - we found that hender makes no difference in risky sexual behaviour but Alchohol use and interaction of alchohol use and Gender are significant effect on risky sexual behaviour. las Scanned with CamScanner