Assume that a hypothesis test to support 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 is less than 5 in a thousand. Identify the type I error for the test.
A) Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually less than 5 in a thousand.
B) Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually greater than 5 in a thousand.
C) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually less than 5 in a thousand.
D) Reject the claim that the proportion of Americans that have seen a UFO is equal to 5 in a thousand when that proportion is actually 5 in a thousand.

Question

Quizplus · Accepted Answer

A type I error occurs when the null hypothesis is rejected when it is actually true. In this case, rejecting the claim that the proportion is 5 in a thousand when it is actually 5 in a thousand is a type I error.

Assume That a Hypothesis Test to Support the Given Claim