I'm not sure those H0 and H1 can be formulated in that way. The hypotheses should contain the predictions.
How do you account for divine intervention in the reaction between protein A and gene B?
Null: protein A and gene B remain separated if I pray (time point given)
H1: protein A and gene B get attached if I pray (time point given)
Observation: protein doesn't attach, then we cannot discount null hypothesis and reject H1
Observation: protein does attach, we can discount null hypothesis
Here prayer is used as a proxy measure of God. Because in a normal experiment you can't determine if God was there or not.
But, by definition, god could answer your prayer or not, so it's not a rule and can't actually be tested in this way. It would only require one event of H1 to show god exists, but in science we know there are spurious events, which is why we use statistics, so H1 could happen due to a statistical fluke. And we continue not to know.
In the lipid idea: we see that some lipids assemble
H0: lipids don't assemble in the presence of X
H1: lipids assemble in the presence of X
You test lipids in exactly the same conditions except for the presence of X.
If they don't assemble, you can discount H1. If they do assemble, you discount H0. Again, in a series of repeats.
We are dealing with natural phenomena, which operate in cause - consequence fashion, so we expect it to occur all the time.
But we still wouldn't know if God had decided to make H1 happen all the time in your experiment on a whim.
Imagine that someone has access to your experiments but you can't see what they do to them and you don't get any evidence of their actions. Can you conclude anything regarding whether that person affected the results of your experiments? Unless that person decided to show you what they did or show themselves doing it.
This is why the existence of God can't be tested scientifically.
Not that I really think God is affecting directly our experiments or natural phenomena.
Although, the way some PCRs work or don't work sometimes makes you wonder... :) or just unreliable students