> Thus, if and only if the lady properly categorized all 8 cups was Fisher willing to reject the null hypothesis – effectively acknowledging the lady's ability at a 1.4% significance level (but without quantifying her ability).
Important to realize though, that failure to categorize all 8 doesn't prove anything either. It just means this one experiment isn't conclusive in itself (at 95% confidence).
It's good to be aware of how easy it can be to get a false result by chance, but it's imo a worse statistical sin to propose that not proving something is proving the opposite (a mistake I see quite often).
Important to realize though, that failure to categorize all 8 doesn't prove anything either. It just means this one experiment isn't conclusive in itself (at 95% confidence).
It's good to be aware of how easy it can be to get a false result by chance, but it's imo a worse statistical sin to propose that not proving something is proving the opposite (a mistake I see quite often).