Question

We are testing to see if there is evidence that the proportion of people who ate breakfast that morning is greater than 60% . We have:

Answer 1

Explained below.

Explanation:

The question is:

What does it mean to make a Type I error in this situation?

Solution:

The hypothesis of the test is:

H₀: p = 0.60 vs. Hₐ : p > 0.60

A type I error is the rejection of an H₀ when indeed the H₀ is true. It is symbolized by α.

In this case type I error will be committed if it is concluded that the proportion of people who ate breakfast that morning is greater than 60%, when in fact it is not more than exactly 60%.