From: Stan Hilliard
Date: 7/9/2004
Time: 9:55:44 AM
Hi Pat,
Your lot size is much larger that 10 times n, so the lot size is irrelevant to the calculations.
For n=315, X=0 the 95% one-sided upper confidence limit on the population fraction defective is 0.009465, (0.9465%) I calculated this with our software program TP105.
www.samplingplans.com/programtp105.htm
In reliability terms, with 95% confidence, the reliability of one item is (100-0.9465)=99.0535.
It is not possible to make the same statements with a smaller sample size, even assuming that the number of failures remains at zero. The upper confidence would go up and the confirmed reliability down.