(i) Under the assumptions of Theorem 9.1.1, suppose also that the p-values are mutually independent. Then, the procedure which rejects any Hi for which ˆpi < c(α, s)=1 − (1 − α)

1/s controls the FWER.

(i) Compare α/s with c(α, s) and show lims→∞

c(α, s)

(α/s) = − log(1 − α)

α .

For α = .05, this limiting value to 3 decimals is 1.026, so the increase in cutoff value is not substantial.