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 less than 5% when it really is less than 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 at least 5% when it really is at least 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

In this context, a Type II error would occur if the researcher fails to reject the null hypothesis that the true proportion is at least 5% (i.e. the researcher cannot conclude that the proportion is less than 5%) when it is actually less than 5%. This means that the researcher would not have enough evidence to support their claim that the proportion of Americans who have seen a UFO is less than 5%.

A Skeptical Paranormal Researcher Claims That the Proportion of Americans