Plants do not count and have no awareness of time or of anything at all. The exact method by which venus fly traps activate is unknown but it seems hard to me to attribute it with the ability to count. That kind of teleological explanation is something we are cognitively biased to give but it fails to be explanatory.
Sunflowers do not turn their heads to face the sun because they want to catch more sunlight. They turn towards light because those cells that are in shadow receive more auxin which in turn stimulates the elongation of the cell walls causing the plant to grow in the opposite direction and towards the light. Natural selection will tend to favor those individuals that can gather more light than those which do not. There is no teleology involved.
I think the null hypothesis is “the neutrino detector is lying” because the question we are most interested in is if it is correctly telling us the sun has gone nova. If H0 is the null hypothesis and u1 is the chance of a neutrino event and u2 is the odds of double sixes then H0 = µ1 - µ2. Since the odds of two die coming up sixes is vastly larger than the odds of the sun going nova in our lifetime the test is not fair.