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Example 2: 40 percent of the ducks included in a certain side effects study were male. If some of the ducks had side effects during the study and 30 percent of the ducks who had side effects were male, what was the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?
A. 1/4
B. 9/14
C. 2/3
D. 7/8
E. 8/7
Answer: B
[Side effect rate for ducks of a certain sex = (number of ducks of that sex which had side effects) / (total number of ducks of that sex)]
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Hi,
I don't seem to understand how you have derived side effect rate for ducks?
The problem says there are 40% male ducks and 60% female ducks in the side effects study.
It further states some of the ducks had side effects - ......... (It does not mention how many have side effects or any % of the side effect rate)
Further states that 30% of the ducks who had side effects are male. Hence 70% of ducks that had side effects are female.
But we don't have the No of ducks who have side effects or the % of ducks who have side effects.
Hence how can we calculate "the ratio of the side effect rate for the male ducks to the side effect rate for the female ducks?"
For example if i presume that the % of ducks that were effected were 40%, the i can say that 30% of these were male and hence male ducks effected are 12%.
Then i can go ahead and calculate side effect rate as follows - 12/40*60 = 18
Calculate same ways for female and then that should give me the ratio.
Can you confirm where i am wrong, if i am?