# After derivng a test statistc using p-value combination method, what is the associat null hypothesis

First I generate two one-sided p-values from independent samples using null hypothesis $$H_0: \Delta\leq0$$, so that $$p_1$$ and $$p_2$$ are generated. Next, I apply the inverse normal combination function $$T=\sqrt{w_1}\Theta(1-p_1)+\sqrt{w_2}\Theta(1-p_2)$$ with weights $$w_1$$ and $$w_2$$ which fulfil $$w_1+w_2=1$$.

What would the associated null hypothesis be? $$H_0$$:No effect in the overall population, or no effect in neither of the samples?

The null hypothesis is that the $$p_i$$ all have a uniform distribution on the unit interval.