3. (Simes' test) Simes' test uses the statistic S := min - - n z' n ew] (17(2) / )3 Where 33(1) a, anl P{Snalp(n):t}:? n ((1) Combine everything to show that 3,, is uniform over (0, 1). (e) As a result, Simes' test rejects H0 if 8,, S a. Is it better than Bonferroni's test? Why or Why not? As a remark, note that 8,, 5 a if and only if there exists 2' E [n] such that p(,-) S a - 2/71. This decision rule is similar to What the BenjaminiHochberg method does in FDR control (but the goal of FDR control is different from global testing)