In a study9 on the effects of AZT in slowing the development of AIDS symptoms, 338 veterans whose immune systems were beginning to falter after infection with the AIDS virus were randomly assigned either to receive AZT immediately or to wait until their T cells showed severe immune weakness. Output follows of modeling the 2 × 2 × 2 cross-classification of race, whether AZT was given immediately, and whether AIDS symptoms developed during the three-year study.What null hypothesis is tested by the difference between the null deviance and the residual deviance? Interpret. Explain how to set up indicator variables for azt and race to obtain the estimates shown. > AIDS # Data file at text websiterace azt yes no # yes and no are categories of AIDS symptoms response1 white yes14 932 whiteno32 813 black yes11 524 blackno12 43> fit <- glm (yes/ (yes+no)azt + race, weights=yes+no, family=binomial,>data=AIDS)> summary(fit)Estimate Std. Errorz value Pr(>|z|)(Intercept)-1.073570.26294-4.0834.45e-05aztyes-0.719460.27898-2.5790.00991racewhite0.055480.288610.1920.84755Null deviance: 8.3499on 3 degrees of freedomResidual deviance: 1.3835on 1degrees of freedom

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In a study9 on the effects of AZT in slowing the development of AIDS symptoms, 338 veterans whose immune systems were beginning to falter after infection with the AIDS virus were randomly assigned either to receive AZT immediately or to wait until their T cells showed severe immune weakness. Output follows of modeling the 2 × 2 × 2 cross-classification of race, whether AZT was given immediately, and whether AIDS symptoms developed during the three-year study.

What null hypothesis is tested by the difference between the null deviance and the residual deviance? Interpret. Explain how to set up indicator variables for azt and race to obtain the estimates shown.