Logic Breakdown

Passage Summary: A disease kills 2 percent of the dogs that get it, but the vaccine only kills 0.02 percent of dogs that get the shot, so the shot is the better choice.

Conclusion: It is safer for a dog to be vaccinated than to remain unvaccinated.

Reasoning: The death rate for dogs that catch the disease is 1 in 50, while the death rate from vaccine complications is only 1 in 5,000.

Analysis: To evaluate this argument, we must identify the missing variable in the risk-benefit calculation: the probability of exposure. The argument compares the risk of death *given* infection versus the risk of death *given* vaccination, but it ignores how likely a dog is to catch the disease in the first place. If the disease is so rare that only 1 in a million dogs ever encounters it, then the 1 in 5,000 risk from the vaccine is actually much more dangerous. Look for an answer that asks about the frequency of the disease in the general population.

Passage Stimulus

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7.

Which one of the following would it be most helpful to know in order to evaluate the argument?

Correct Answer
E
E directly gives the missing base rate: how likely an unvaccinated dog is to contract the disease. That allows comparing P(contracting) × 1/50 to 1/5,000 to see which option is safer.
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