Question

A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO is less than 2 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 2 in a thousand when that proportion is actually less than 2 in a thousand.
B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.
C. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually less than 2 in a thousand.
D. Fail to reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually greater than 2 in a thousand.

Answer 1

B. Reject the claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand

Explanation:

The type I error is rejection of true null hypothesis.

In the given scenario our hypothesis are

Null hypothesis: The proportion of Americans that have seen a UFO is equal to 2 in a thousand.

Alternative hypothesis: The proportion of Americans that have seen a UFO is less than 2 in a thousand.

Type I error is the rejection of true null hypothesis so, in this case type I error is rejection of claim that the proportion of Americans that have seen a UFO is equal to 2 in a thousand when that proportion is actually 2 in a thousand.