Question

People have been known to enjoy jumping off of high cliffs into large bodies of water.Cliff diving, however, is a risky recreational activity that causes people to lose their lives every year.Answer the following questions from the point of view of a person who has decided this is fun, and is currently standing on the top of a cliff looking down into the water, preparing to jump.

What is the null hypothesis?

What is the Type I error for this scenario, and what is the consequence of that error?

What is the Type II error for this scenario, and what is the consequence of that error?

Answer 1

The null hypothesis H₀ : the person will not lose his life

against alternative hypothesis H₁ : the person will not lose his life

Type I error = P( Reject H₀ when it is true) = P( Rejecting the fact that the person will not lose his life when the person will actually not lose his life)

Type II error = P( Accept H₀ when it is not true) = P( Accepting the fact that the person will not lose his life when the person will actually lose his life)

Here, Type I Error is more serious/fatal.