Joeylawn36111, Audioari1, and Albert, I could not agree more. This is why I suggested that such present or not present tests may not validly assess whether the CLC is working or not.
Zaikesman, you are assuming that no one can hear a difference, but I am assuming that some can hear a difference. Certainly, some do say they hear a difference. With a small sample where some hear a difference, as I see it, you will not be able to dismiss the issue of whether your sample is unusual but comes from a population that cannot hear a difference. With a larger sample again where some hear a difference, it will be very improbable that the population cannot hear a difference. Statistical significance would make it more difficult to support your position. I am sorry if these ideas are difficult to convey, but they are the basis statistical significance and dealing with type one errors.
Given what I say above, a small sample with some hearing a difference could be dismissed as sampling error. A large sample would, however, lead to the conclusion that people in general can hear a difference.
Remember also that you think that there is no difference with the CLC present or absent, but you are only testing whether people can hear a difference. Even if they don't hear a difference, there may be one, or if they do hear a difference, there may be none. Unlike a coin where all would agree on heads and tails, this probably would not be the case in what you propose.
Overall, again I would state that your proposed tests do not resolve the issue.
Zaikesman, you are assuming that no one can hear a difference, but I am assuming that some can hear a difference. Certainly, some do say they hear a difference. With a small sample where some hear a difference, as I see it, you will not be able to dismiss the issue of whether your sample is unusual but comes from a population that cannot hear a difference. With a larger sample again where some hear a difference, it will be very improbable that the population cannot hear a difference. Statistical significance would make it more difficult to support your position. I am sorry if these ideas are difficult to convey, but they are the basis statistical significance and dealing with type one errors.
Given what I say above, a small sample with some hearing a difference could be dismissed as sampling error. A large sample would, however, lead to the conclusion that people in general can hear a difference.
Remember also that you think that there is no difference with the CLC present or absent, but you are only testing whether people can hear a difference. Even if they don't hear a difference, there may be one, or if they do hear a difference, there may be none. Unlike a coin where all would agree on heads and tails, this probably would not be the case in what you propose.
Overall, again I would state that your proposed tests do not resolve the issue.