Question

Formulate the indicated conclusion using the flowchart. Be sure to address the original claim. An entomologist writes an article in a scientific journal which claims that fewer than 3 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms. There is sufficient evidence to support the claim that the true proportion is less than 3 in ten thousand. There is sufficient evidence to support the claim that the true proportion is greater than 3 in ten thousand. There is not sufficient evidence to support the claim that the true proportion is greater than 3 in ten thousand. There is not sufficient evidence to support the claim that the true proportion is less than 3 in ten thousand.

Answer 1

To test the claim that true proportion of male fireflies who are unable to produce light due to a genetic mutation is less than to 3 in ten thousand, the hypotheses are -

Null hypothesis : true proportion of male fireflies who are unable to produce light due to a genetic mutation is equals to 3 in ten thousand

Alternative hypothesis : true proportion of male fireflies who are unable to produce light due to a genetic mutation is less than to 3 in ten thousand

Decision : Reject the null hypothesis

ans-> There is sufficient evidence to support the claim that the true proportion is less than 3 in ten thousand.