The double sample test was proposed first but no proof by Wen Qiyu. This test ismore saving than the simple pooled sample test.The paper[1] also gave a conjecture for the formulaof expected inspection number of n-fold pooled sample test.This paper first gives a simple proof ofthe conjecture by probabilistic methods and obtains another form of the conjecture independently andproves the two Conjectures are eqLlivalent.