I think we agree and are talking past each other, my original statement was “Most statisticians would agree with you. Unless...”
So we agree that there is more power in 3⁄5 than 2⁄3, and we happen to have divergent intuitions about what random Joe finds most persuasive, my intuition is rather weak so I would gladly update it towards 3⁄5 sounding more impressive to random people, if you feel strongly about it.
Most likely what the marketing folks have done is gotten a list of top 100 runners in different running disciplines and the reported “the most impressive top X in list Y”,
We both agree that the reported statistic is inflated, which is the major thesis, we simply disagree about how much information can be recovered because we have different “impressiveness sounding heuristics”
Reebok doesn’t produce 64% of all shoes or a majority of shoes and that’s generally known by shoe buyers.
I think we agree and are talking past each other, my original statement was “Most statisticians would agree with you. Unless...”
So we agree that there is more power in 3⁄5 than 2⁄3, and we happen to have divergent intuitions about what random Joe finds most persuasive, my intuition is rather weak so I would gladly update it towards 3⁄5 sounding more impressive to random people, if you feel strongly about it.
Most likely what the marketing folks have done is gotten a list of top 100 runners in different running disciplines and the reported “the most impressive top X in list Y”,
We both agree that the reported statistic is inflated, which is the major thesis, we simply disagree about how much information can be recovered because we have different “impressiveness sounding heuristics”