In order to support the hypothesis that mutations occur in response to an environmental challenge, the experiment in question would have to show an increase in mutation rates shortly after the environmental challenge was introduced.
When we test a hypothesis, we perform an experiment and gather data over the course of the testing. In order to obtain evidence that supports a hypothesis, we have to ensure that only one variable is changing and be sure to repeat the experiment to confirm the values measured.
Taking this into account, a hypothetical result of the fluctuation test that would support the hypothesis of mutations in reaction to environmental challenges would be to measure a spike in mutation rates in the generation following an environmental challenge, and then continue to do so with future post-challenge generations.
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