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%.

Question

Quizplus · Accepted Answer

A Type I error occurs when a true null hypothesis is incorrectly rejected. In this context, the null hypothesis would be that the true proportion of male fireflies unable to produce light is at least 6%. Thus, rejecting this claim when it is actually true constitutes a Type I error.

An Entomologist Writes an Article in a Scientific Journal Which