Option 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.

Step-by-step explanation:

We are given the following information:

A hypothesis test to support the given claim that the proportion of Americans that have seen a UFO is less than 5 in a thousand.

Type I error:

Type I error is the rejection of a true null hypothesis that is we reject the null hypothesis given it is true.
It is also known as a false positive.

First, we design the null and the alternate hypothesis

$H_{0}: \text{ The proportion of Americans that have seen a UFO is equal to 5 in a thousand}\\H_A: \text{ The proportion of Americans that have seen a UFO is less than 5 in a thousand}$

Thus, for the given hypothesis test, we describe type I error as:

Option 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.

3 0

4 years ago