Support In the past decade, a decreasing percentage of money spent on treating disease X went to pay for standard methods of treatment, Support which are known to be effective though they are expensive and painful. ββ ββββββββββ ββββββββββ ββ βββββ βββββ ββ βββββββββββ βββββββββββ βββββ βββββ ββββββ βββββββββββ ββββββββββββββ βββ βββββββββββ ββββββββββ ββββ ββββββ ββ ββ ββββββββββββ ββββββββββ ββββ βββββ ββ βββββ βββββ βββ ββ βββββββββ ββββββββββ ββ βββββββ β ββββ βββ βββββ βββ βββββ ββββ
Over the past decade, the share of disease X spending going to standard treatments (which are effective) has been shrinking. Meanwhile, the share going to nonstandard treatments (which are not effective) has been growing. The author concludes that less money is being spent on effective treatments now than ten years ago.
The key move in this argument is a jump from percentage to amount. The premises tell us that the percentage going to standard treatments has decreased. The conclusion claims that the amount going to standard treatments has decreased.
Does a smaller percentage necessarily mean a smaller amount? No, because the whole pie (the total amount spent on treating disease X) might have gone up!
It helps to see the point with concrete examples. In all three scenarios below, the percentage going to standard treatments drops from 50% to 25%. But whether the dollar amount drops depends on what happened to total spending on disease X. Total spending could have stayed the same, gone down, or gone up.
The dollar amounts above are just illustrations, but the underlying point would hold no matter what example numbers we choose: a decreasing percentage guarantees a decreasing amount if and only if total spending didn't increase enough to offset the shrinking percentage. Scenario 3 is the problem the argument fails to address. If total disease X spending grew enough, the amount going to standard treatments could have increased even though its share decreased.
Since this is a Sufficient Assumption question, the correct answer, if true, should guarantee the conclusion. So the correct answer should establish that total spending on disease X didn't increase enough to offset the shrinking percentage. For example, if we learn that total spending on disease X stayed the same or decreased, that would guarantee the conclusion.
Analysis by Kevin_Lin
Which one of the following, ββ ββββββββ ββββββ βββ ββββββββββ βββββ ββ ββ ββββββββ ββββββ
Varieties of disease β βββββββββ βββββββββ βββββββ βββββββββ ββββ ββββββ ββββ ββββββ ββββββ βββ ββββ βββββββ
Nonstandard methods of ββββββββ βββββββ β βββ ββββ βββββββββ βββ ββββ ββββ ββββ β ββββββ ββββ
Of total medical βββββββββββββ βββ ββββββββββ ββββ ββ βββ ββ βββββββββ ββ βββββββ β βββββββββ ββββββ βββ ββββ βββββββ
Most of the βββββ βββββ ββ ββββββββ βββββββ β ββββββ βββ ββββ ββββββ ββββ ββ βββ βββ βββββββββββ βββββββββββ
The total amount ββ βββββ βββββ ββ ββββββββ βββββββ β ββββββ ββββββββ ββββββ βββ ββββ βββββββ