Answer:
Neither pesticides nor hormons
Explanation:
Conjunction pairs are used when we have a choice, or better said, two options.
If we want to state that both of the options meet the criteria ot that they fit or satisfy the conditions, we use either - or conjunction pair.
However, if we, such is the case here, want to refuse or negate both of the options, we use neither - nor conjunctions. Contrary to the first case, this means that neither choice is accepted, approved or meets the criteria.
Sorry but this is a guess for me but isn't the first sentence supposed to be a question mark instead a explanation mark.