Determine if there is enough evidence to support the entomologist's claim about the genetic mutation in male fireflies: An entomologist writes an article in a scientific journal which claims that exactly three in ten thousand male fireflies are unable to produce light due to a genetic mutation. Assuming that a hypothesis test to support this claim has been conducted and that the conclusion is to fail to reject the null hypothesis, state the conclusion in nontechnical terms. There is sufficient evidence to support the claim that exactly three in ten thousand male fireflies are unable to produce light due to a genetic mutation. There is sufficient evidence to reject the claim that exactly three in ten thousand male fireflies are unable to produce light due to a genetic mutation. There is not sufficient evidence to reject the claim that exactly three in ten thousand male fireflies are unable to produce light due to a genetic mutation. There is not sufficient evidence to support the claim that exactly three in ten thousand male fireflies are unable to produce light due to a genetic mutation.
Solution
Step 1 ：The question is asking for a conclusion in nontechnical terms based on the results of a hypothesis test. The hypothesis test failed to reject the null hypothesis. The null hypothesis in this case would be the entomologist's claim that exactly three in ten thousand male fireflies are unable to produce light due to a genetic mutation.
Step 2 ：Failing to reject the null hypothesis means that there is not enough evidence to say that the entomologist's claim is false.
Step 3 ：Therefore, there is not sufficient evidence to reject the claim that exactly three in ten thousand male fireflies are unable to produce light due to a genetic mutation.
Step 4 ：Final Answer: \boxed{\text{There is not sufficient evidence to reject the claim that exactly three in ten thousand male fireflies are unable to produce light due to a genetic mutation.}}
