Yes the null hypothesis is indeed intended to establish probabilities under relatively controlled conditions ... to quote on the priniciple of the null hypothesis ( how it works ) from the Wikipedia article:
"Principle
Hypothesis testing works by collecting data and measuring how probable the particular set of data is, assuming the null hypothesis is true. If the data-set is very improbable ( usually defined as observed less than 5% of the time), then the experimenter concludes that the null hypothesis is false. If the data do not contradict the null hypothesis, then only a weak conclusion can be made; that the observed dataset provides no strong evidence against the null hypothesis. In this case, the null hypothesis could be true or false; in some contexts this is interpreted as meaning that the data give insufficient evidence to make any conclusion, on others it means that there is no evidence to support changing from a currently useful regime to a different one."
Good, then you admit that the status quo is that "All UFOs are of mundane origin" since none have ever been shown to be non-mundane.
Also note this: "Much of the terminology used in connection with null hypotheses derives from the immediate relation to statistical hypothesis testing ...".
It is your null hypothesis, after all. Here's the J Randall Murphy null hypothesis:
"All UFOs are of mundane origin"
and it has never been falsified. Well done, ufology!
So the above clearly illustrates the principle of the null hypothesis is probability based. In fact it was created by ststatistician Ronald Fisher in 1935. Now having explained this several times already I would have thought that you'd catch on. Apparently you needed another reminder.
You need another reminder of what the J Randall Murphy null hypothesis is? Ok:
"All UFOs are of mundane origin"
Thanks to J Randall Murphy for his null hypothesis which has never been falsified.
On the issue of relatively controlled conditions, it is self-evident that the data set must corelate to the repitition of similar, if not identical experiments or data collected from identical repeated surveys. The example used in the Wikipedia article is the coin toss. Obviously you wouldn't use a different coin for each toss. The other examples are controlled medical testing and demographic type surveys. Obviously you wouldn't use a different medication on each patient or a different survey for each participant.
Why would you not use a different coin for every toss? In all the uncontrolled world of coin tossing, we've never seen one turn into a butterfly. Therefore the null hypothesis is:
"No flipped coins turn into butterflies"
and it has never been falsified. Do you see why that null hypothesis is the default position for normal, sane people to assume? Now you give me an example of a null hypothesis from everyday life so that we may see that you understand it more than just copy/pasting.
Now in consideration of the above ( the actual way the null hypothesis is supposed to be used ), there were a number of studies done based on statistical data that clearly showed that about 22% of reported UFOs are "genuine". In other words there isn't any known manmade or natural phenomena that could have reasonably explained them. So in effect, the null hypothesis has already been proven false. However the critics simply ignore that data and move the goalposts for the standards of evidence to something they know there is no supporting data for yet. Yawn ... same old same old.
Have you thought of a null hypothesis from everyday life yet? If not, is it because you still have no comprehension of what one is?
More than you apparently.
Well, no.

You are still confused about your own J Randall Murphy null hypothesis which is:
"All UFOs are of mundane origin"
and it hasn't been falsified. Are you able to comprehend it yet when I simple it down for you like that?
Thanks ... ( I think ) ... at least when I come fishing here I know the sharks are ready to feed. Have you got anything else for me besides the same old arguments, like the latest on UFO hoaxes, contactees, faked credentials or other useful tidbits?
Do you yet have any evidence that would falsify your J Randall Murphy null hypothesis?