Medical researcher: At the Flegco Corporation, all employees whose work involves lifting heavy objects wear back belts to prevent back injuries. ββββββββ β βββββ βββββ ββββ ββββββ βββββββββ βββ ββββ ββββ βββββ βββ ββββββββ ββββ ββββββ ββ ββββββ ββββ ββββββββ ββββ βββ βββββββββ βββ ββ βββ ββββ ββββ ββββββ ββββ ββββββββ ββββ ββββ βββββ ββ βββ ββββ ββ βββββββ ββββ βββββββββ
The author concludes that back belts donβt help prevent back injuries. This is based on the fact that in a study of Flegco employees, those who wear back belts are more likely to suffer back injuries than employees who donβt wear back belts.
The author overlooks the possibility that the people who wear back belts at Flegco start off with a higher risk of back injuries than the people who donβt wear back belts. For example, maybe the people who wear back belts are involved in manual labor, whereas the people who donβt wear back belts are office workers who donβt lift anything heavy. If this is true, then we canβt conclude that back belts donβt reduce injuries simply because the people who wear back belts have more back injuries than the people who donβt wear the belts.
The reasoning in the medical ββββββββββββ ββββββββ ββ ββββ ββββββββββ ββ βββββββββ ββ βββββ βββ ββ βββ βββββββββ ββββββββ
It compares the βββββββββ ββ ββββ ββββββ βββββββ βββ ββββββ βββ ββββββββ ββ βββ ββββ βββ ββββ ββββ βββββββ βββ ββββ βββββββ
This points out that the people who wear back belts might be more at risk of back injury due to the nature of their job than are the people who donβt wear back belts. This is why the fact that the belt-wearers are more likely to get back injuries does not prove the belts donβt help reduce injuries.
It fails to βββββββ βββ βββββββββββ ββββ ββββββ βββββββββββ βββββββββ βββ ββββ ββββββ ββ ββββ ββββ βββββ ββββ βββ βββββββββ βββ βββββββ βββββββ βββββ ββ βββββ βββββββββββββ
The argument concerns a comparison between Flegco employees. How Flegco employees compare to employees of other corporations is not relevant.
It takes for βββββββ ββββ ββ β ββββββ ββ ββββββββββ ββββ ββ βββββββββ ββββββββββ ββ β βββββββ βββββββ ββββ ββββββ ββββ ββββββββ ββββββββββ ββ ββββ βββββββ
The author does not assume that back belts causally contribute to back injuries. The conclusion is just that back belts do not help prevent back injuries. In other words, the author could believe back belts simply have no causal relationship to back injuries.
It confuses the βββββ ββββ β ββββββββββ ββββ βββ ββββββββ ββββββββββ ββ β βββββββ ββββββ ββββ βββ βββββ ββββ ββββ ββββββββββ ββββββββ βββββββββββ ββ ββββββββββ ββββ βββββββ
The author concludes that back belts do not help prevent back injuries. This claim is not confused for a claim that back belts do help prevent back injuries.
It fails to βββββββ βββ βββββββββββ ββββ ββββ ββ β ββββββ ββ ββββββββββ ββ βββββββ β βββββββ βββββββ βββ ββββββββ βββ βββ ββ βββββββββ ββ βββββ βββ ββββ ββββββ ββ ββ βββββββββ
(E) describes a confusion of sufficient and necessary conditions. But there is no factor presented as sufficient to guarantee a certain effect. So there canβt be a confusion of sufficient and necessary conditions.