Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test
-A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than 1 in every one thousand. Identify the type II error for the test.
A)The error of rejecting the claim that the true proportion is at least 1 in one thousand when it really is at least 1 in one thousand.
B)The error of rejecting the claim that the true proportion is less than 1 in one thousand when it really is less than 1 in one thousand.
C)The error of failing to reject the claim that the true proportion is at least 1 in one thousand when it is actually less than 1 in one thousand.

Question

Quizplus · Accepted Answer

A type II error occurs when the null hypothesis is not rejected when it is false. In this context, the null hypothesis would likely be that the proportion is at least 1 in one thousand, and the alternative hypothesis (the claim) is that it is less than 1 in one thousand. Therefore, a type II error would involve failing to reject the null hypothesis (that the proportion is at least 1 in one thousand) when in fact the true proportion is less than 1 in one thousand.

Assume That a Hypothesis Test of the Given Claim Will