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Except non is not an english word, it is a prefix of latin origin. Which is why american style manuals will always ask you to merge it with the subsequent word, without a hyphen. British rules differ, and รขโฌยฆ
Inconclusive is more popular in research compared to non-conclusive, using pubmed search, 20,872 and 260 รขโฌยฆ To record and summarize the discussion in the comments, while the oed mostly uses the hyphen, many other dictionaries don't, and the ngrams show higher non-hyphenated usage than hyphenated.