Operative characteristic curves and sampling

Hello.
I have to perform some tests to determine whether changed
environmental conditions (water) affected the fish.
The question is : how many batches? and how many samples (fish) in
each batch?
The null hypothesis is that there is no pollution in the fish and I
want to be sure with alpha 0.05 and beta 0.8.
I have a vague memory of Operative characteristic curves for this kind
of problem, but cannot go further than that. I remember also that
setting the maximum allowlable number of positive results to 1 instead
of 0 lead to better results. Maybe I am totally wrong.
Could someone give me a tip?

(Do not have my books with me, I left them in Europe ...)


Thanks in advance
rob
.

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