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ODDS RATIOS AND RELATIVE RISK! Thanks for the help!! 2) In an article about crim

ID: 2921602 • Letter: O

Question

ODDS RATIOS AND RELATIVE RISK! Thanks for the help!!

2) In an article about crime in the United States, Newsweek magazine quoted FBI statistics stating that of all blacks slain in 2010, 92% were slain by blacks, and of all whites slain in 2010, 85% were slain by whites. Let Y denote race of victim and X denote race of murderer a) Calculate and interpret the odds ratio between X and Y b) Given only the information above, can you calculate the relative risk (see the definition of RR in Lecture 7)? Why or why not?

Explanation / Answer

Blacks Whites

Blacks 92 8

Whites 15 85

Assuming a sample size of 100, we construct the above matrix as per the given data.

a) Odds of X is 92 : 8

Odds of Y is 15 : 85

Odds Ratio is (92/8) / (15/85) = (92/8)*(85/15) = 65.17

b) Relative Risk is the ratio of probabilities

Thus, Relative Risk (RR) = (92/100)/ (15/100) = 92/15