An Electronics Company has just installed a new machine that makes a part that is used in clocks. The company wants to estimate the proportion of these parts produced by this machine that are defective. The company manager wants this estimate to be within 0.02 of the population proportion for a 95% confidence level. What is the most conservative estimate of the sample size that will limit the maximum error to within 0.02 of the population proportion?
Ans : ... For the most conservative estomate of the sample size, we use $p=0.50$ and $1-p=0.50$. ...
I want to ask why $p=0.5$ is used for the most conservative estimate. When it comes to the most conservative estimate, I always use $p=0.5$ is OK?