People have been known to enjoy jumping off of high cliffs into large bodies of

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?

Explanation / Answer

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.

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