Tbg: I'm still not following your point about sample size, but it sounds like you are saying that it is possible to manipulate statistical methods to prove anything one wants to by the way one chooses the sample size...?
If the effect of the CLC were profound, as some people claim, you could prove this with a very high level of confidence with a very small sample size - there is a 1 in a million probability that someone could correctly guess, purely by chance, whether the CLC was in the house in 21 tries.
A larger sample size is only required if the positive effect is very small, in which case you need a large sample size to show that the small benefit is statistically significant.
I expect that 10 tests would be enough to convince most people that this device does not have much benefit, and a larger number of test would only show with increasing certainty that it has no benefit at all.
If the effect of the CLC were profound, as some people claim, you could prove this with a very high level of confidence with a very small sample size - there is a 1 in a million probability that someone could correctly guess, purely by chance, whether the CLC was in the house in 21 tries.
A larger sample size is only required if the positive effect is very small, in which case you need a large sample size to show that the small benefit is statistically significant.
I expect that 10 tests would be enough to convince most people that this device does not have much benefit, and a larger number of test would only show with increasing certainty that it has no benefit at all.