But, this is not how scientific hypothesis testing is done.
Wow, then how should I proceed according to your concept of "scientific hypotesis testing"? Remember that so far I'm only talking about the idea, the basis; not the experiment itself. FE people claim that BL exist. If my experiment works BL exists, if my experiment does not work BL does not exist. Easy.
Ok, before you embark on your ambitious task, answer these questions:
1. What is your research (alternative) hypothesis?
2. Assuming you formulated the problem under 1. correctly, derive a logical negation of that statement. This is your null hypothesis.
3. Under the null hypothesis, give us the predictions for the outcome of the experiment you are performing. Make sure you express your predictions in terms of measurable physical quantities
4. Give us the critical region of results that would lead to
rejecting the null hypothesis with a 95% level of significance.
There are only two outcomes of your experiment. Either the null hypothesis is rejected, or it is not rejected. The level of significance indicates the probability of making an error of the first kind (with probability of 5%). This error is to reject the null hypothesis, when, in fact it is correct.
5. However, you can also make an error of the second kind, where you fail to reject the null hypothesis, when, in fact, it is false. You should be able to provide an estimate for this probability as well. This gives the power of your test. To increase it to an acceptable level, you must perform very precise and accurate measurements. You must provide the estimates for the necessary precision and describe the methodology you plan on using in order to achieve the accepted level of precision.
6. Finally, report the data in an unbiased and transparent fashion and let us be able to make a deduction by analyzing the data by ourselves.