Five iid observations come from a continuous distribution with population median θ_(1/2). Test H₀:θ_(1/2)=2.5 against H₁:θ_(1/2)>2.5. Which is a critical region of a level-0.05 test?
Under the null, the count above 2.5 is Binomial(5,1/2). A means all five exceed it, with probability 1/32=0.03125≤0.05. B requires at least four and has probability 6/32=0.1875; C,D are larger still. Thus only **A** is within the stated level.
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