Question

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.

A.There is sufficient evidence to support the claim that the true proportion is greater than 3 in ten thousand.

B.There is not sufficient evidence to support the claim that the true proportion is greater than 3 in ten thousand.

C.There is not sufficient evidence to support the claim that the true proportion is less than 3 in ten thousand.

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

Answer 1

Ans :

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

For the Given problem,

Claim : (scientific journal which claims that) fewer than 3 in ten thousand male fireflies are unable to produce light due to a genetic mutation

therefore null hypothesis : H_o : true proportion is equal to 3 in ten thousand : p = 3 in ten thousand

Alternate Hypothesis : H_a : true proportion is less  3 in ten thousand ; p < 3 in ten thousand.

Reject the null hypothesis in favor of alternate hypothesis; therefore conclusion is

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