If in fact there is a difference and 40% say there is none, this is saying that those 40% of people have less than optimal hearing.
The only thing your test would reveal is that under those test conditions, 40 percent of the subjects heard no difference. There’s no data to support your conclusion.
In fact, conducting a scientifically valid double-blind listening test is not as simple as some suspect. So if the test results are puzzling, you'd also have to consider whether the problem is with the test itself rather than the test subjects.