What is the main reason why a hypothesis test usually has the equality hold under the null hypothesis?
122977
Why must a null hypothesis contain equality?
158224
Mann Whitney test with unequal variances
130028
Why is a statement "vacuously true" if the hypothesis is false, or not satisfied?
20750
Proving an equality regarding fully independent events
107967
Significance of assumption in competition inequality questions
145025
Why is the partial trace of this subsystem equal to this?
56050
Why put the constant before the variable in a comparison?
136844
Mathematical induction question: why can we "assume $P(k)$ holds"?
38461
If random variables are drawn from an identical distribution, why doesn't this guarantee they are independent?
158810
Why does >= return false when == returns true for null values?
147704
Do you reject the null hypothesis when $p < \alpha$ or $p \leq \alpha$?
26009
How to derive the asymptotic distribution of the test statistic of a large sample test for equality of two binomial populations?
132456
Non-uniform distribution of p-values when simulating binomial tests under the null hypothesis
111953
Independent samples t-test with unequal sample sizes
146314
Why do some tests have a (nonzero) minimum score?
66971
What is the purpose of the first test in an inductive proof?
97955
How to specify the null hypothesis in hypothesis testing