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For those people with a particular type of cancer, the odds ratio between age (1=younger, 0=older) and recovery (1=remission, 0=no remission) was 2.1. Why is

For those people with a particular type of cancer, the odds ratio between age (1=younger, 0=older) and recovery (1=remission, 0=no remission) was 2.1.

  1. Why is it incorrect to say: "The probability of remission for younger subjects is 2.1 times the probability of remission for older subjects"? Give the correct interpretation of the number 2.1.
  2. Suppose that the odds of remission for older subjects are 1.5.What are the odds of remission for younger subjects?
  3. For each age group, find the proportion of subjects who went into remission.
  4. Find the value of R in the interpretation: "The probability of remission for younger subjects is R percentage points higher than that of older subjects."
  5. Find the value of R in the interpretation: "The probability of remission for older subjects is R times that of younger subjects."

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