Question

According to the U.S. Department of Justice, in 2004, the incarceration rate in the nation's prisons was 1 per 109 male residents, 1 per 1563 female residents, 1694 per 100,000 black residents, and 252 per 100,000 white residents. Find the odds ratio between whether incarcerated and gender and interpret.

A. The odds ratio of incarceration comparing males to females is 12.1.

B. The risk of incarceration in males is 14.3 times the risk of incarceration in females.

C. The odds of incarceration in males is 14.3 times the odds of incarceration in females.

D. The odds ratio of incarceration in males is 14.3 times the odds ratio of incarceration in females.

Now find the odds ratio between whether incarcerated and race. Round to two decimal places.

Answer 1

odds of  incarceration in males = 1/109

odds of  incarceration in females = 1/1563

odds ratio = (1/108) / (1/1562) = 14.5

answer is option c) ,  The odds of incarceration in males is 14.3 times the odds of incarceration in females

-----------------------------------------------------

	incarcertaion	no	total
black	1694	98306	100000
white	252	99748	100000
total	100000	100000	200000

odds ratio = (1694/98306)/(252/99748) = 6.82

so, The odds ratio of incarceration comparing black residents to white residents is 6.82