Scientist: To study the comparative effectiveness of two experimental medications for athleteβs foot, a representative sample of people with athleteβs foot were randomly assigned to one of two groups. βββ βββββ ββββββββ ββββ ββββββββββ ββ βββ βββ βββββ ββββββββ ββββ ββββββββββ ββ βββ ββββ ββββββ βββββ βββββββββββ ββββ βββ βββββ βββ ββββ βββββ ββββββββββ ββ
βββββββββ ββββ ββββββ βββββ ββββ ββ ββββββ ββ βββ βββββ βββ βββββββββββ ββββ ββββ βββ βββ ββββββ ββββ ββββββ βββ βββ βββββββ ββββββββββ ββ
The reporter concludes that, in a study testing medications for athleteβs foot, anyone who was not cured was not given medication M. This is based on the observation that, in the study, everyone whose athleteβs foot was cured received medication M.
This is a cookie-cutter flaw: confusing sufficient and necessary conditions. In the study, everyone whose athleteβs foot was cured received medication M, making medication M necessary to have been cured in this study. However, that doesnβt mean medication M is sufficient to cure every case that it was used to treat. In other words, itβs possible that not everyone who received medication M was cured.
Which one of the following ββββ ββββββββββ βββββββββ βββ ββββββββββββ βββββ ββ ββββββββββ
The reporter concludes ββββ ββββββββ βββββββ ββββ ββββ β βββ ββββ βββββββββββ ββββ ββββ β ββββββ βββββ βββββββββββ βββββ
The argument confuses sufficient and necessary conditions. Only M cures athleteβs foot, making it necessary for curing athleteβs foot in the study. However, that doesnβt mean itβs sufficient to always cure athleteβs foot.
The reporter illicitly βββββ β ββββββββββ βββββ βββ ββββββββββ ββ β βββββ ββ βββ βββββ ββ β βββββ βββββββββ ββββ ββ β ββββββ ββ βββ βββββββββββ
The reporter only draws a conclusion about the study, not the population as a whole.
The reporter presumes, βββββββ βββββββββ ββββββββββββββ ββββ βββββββββββ β βββ β βββ βββββββββ ββ ββββββ βββ ββββ βββββββββββ ββββ βββ βββ βββ βββββββββββ ββ βββ ββββββ
The reporter doesnβt make any claims about the availability of the medications, only their effects on athleteβs foot in the study.
The reporter fails ββ βββββ βββ βββ βββββββββββ ββββ βββββββββββ ββββ βββ ββ βββββ ββββ ββ βββββββ ββ βββ βββ βββββββββββ βββββββ ββ ββββββ
The reporter is only drawing a conclusion about the efficacy of medication M based on the study, and doesnβt need to account for the possibility that athleteβs foot could be cured in other ways.
The reporter presumes, βββββββ βββββββββ ββββββββββββββ ββββ βββββ ββ ββ ββββββββ ββββββββ ββ ββββββ βββββ βββββββββββ ββββ ββββ ββ βββββ ββββ ββ ββββ ββ βββ ββββ ββββββββββ ββ
The reporter is only discussing the study, where every participant whose athleteβs foot was cured had received M. The possibility of this kind of subgroup is irrelevant to M being necessary to cure athleteβs foot in the study.