Oke first it is not wrong to want to prove a null hypothesis.
Secondly testing if there is a difference between two entirely different measures is in general wrong.
It’s like testing if there is a statistical difference between the height of the trees in my street measured in meters and then measured in feet.
There is no real difference but I will get a highly significant result.
Only if I transform all the measurements from feet into meters or vice versa can a valid test can be done.





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