Suppose

X1,…,Xn are i.i.d. draws from a population with mean μ and known variance σ^2

Consider the following two situations:

Situation 1:

You perform the one-sided hypothesis test:

H0:μ ≥ μ0 and H1:μ < μ0 at significance level α.

Situation2:

Using the same data set, your friend performs the one-sided hypothesis test:

H0:μ < μ0 and H1:μ ≥ μ0. at significance level α.

True or false: You reject your null hypothesis if and only if your friend does not reject his/her

null hypothesis. Explain your answer.