Problem 6: For those people with a particular type of cancer, the odds ratio bet

Question

Problem 6: For those people with a particular type of cancer, the odds ratio between age young Vs. old) and remission (remission Vs. death) was 3 a) Choose one correct interpretatioin i. The probability of death for young subjects is 3 times the probability of death for ii. The probability of death for old subjects is 3 times the probability of death for iii. The odds of remission for old subjects is 1/3 0.333 times the odds of remission iv. The odds of death for young subjects is 3 times the odds of death for old subjects old subjects young subjects for young subjects. b) The proportion of old subjects who died of the particular cancer is 60%. What are the odds of death for young subjects?

Explanation / Answer

a) option (iii) is correct ; the odds for remission for old subjects is 1/3 =0.333 times the odds of remission for young subjects

b)

here odds for death for older people =(60/40)=3/2

therfore odds for death of younger people =(3/2)/3 =1/2 =0.5

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