(i) When testing H : p ≤ p0 against K : p > p0 by means of the test corresponding to (6.15), determine the sample size required to obtain power

β against p = p1, α = 0.05, β = 0.9 for the cases p0 = 0.1, p1 = 0.15, 0.20, 0.25; p0 = 0.05, p1 = 0.10, 0.15, 0.20, 0.25; p0 = 0.01, p1 = 0.02, 0.05, 0.10, 0.15, 0.20.

(ii) Compare this with the sample size required if the inspection is by attributes and the test is based on the total number of defectives.