A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than $5 \%$. Identify the Type II error in this context.
A) The error of rejecting the claim that the true proportion is at least $5 \%$ when it really is at least $5 \%$.
B) The error of failing to reject the claim that the true proportion is at least $5 \%$ when it is actually less than $5 \%$.
C) The error of accepting the claim that the true proportion is at least $5 \%$ when it really is at least $5 \%$.
D) The error of rejecting the claim that the true proportion is less than $5 \%$ when it really is less than $5 \%$.
E) The error of accepting the claim that the true proportion is at least $5 \%$ when it is actually less than $5 \%$.

Question

Quizplus · Accepted Answer

A Type II error occurs when we fail to reject the null hypothesis when it is false. In this context, it means failing to reject the claim that the proportion is at least 5% when it is actually less than 5%.

A Skeptical Paranormal Researcher Claims That the Proportion of Americans 5%5 \%5%

A Skeptical Paranormal Researcher Claims That the Proportion of Americans $5 \%$