An Entomologist Writes an Article in a Scientific Journal Which $6 \%$

question 9

Multiple Choice

An entomologist writes an article in a scientific journal which claims that fewer than $6 \%$ of male fireflies are unable to produce light due to a genetic mutation. Identify the Type I error in this context.

• A) The error of failing to reject the claim that the true proportion is at least \(6 \%\) when it is actually less than \(6 \%\).
• B) The error of rejecting the claim that the true proportion is less than \(6 \%\) when it really is less than \(6 \%\).
• C) The error of accepting the claim that the true proportion is at least \(6 \%\) when it really is at least \(6 \%\).
• D) The error of failing to accept the claim that the true proportion is at least \(6 \%\) when it is actually less than \(6 \%\).
• E) The error of rejecting the claim that the true proportion is at least \(6 \%\) when it really is at least \(6 \%\).

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Definitions:

Opportunity Costs

The value of the best alternative foregone when a decision is made to pursue a particular action, essentially the cost of choosing one option over another.

Implicit Costs

The opportunity costs of using resources owned by the firm for its own production, instead of earning income elsewhere.

Explicit Costs

Direct, out-of-pocket payments made for the operation of a business, such as wages, rent, and materials.