6. You go to the refrigerator and pull out some hummus for a snack. Before you e

Question

6. You go to the refrigerator and pull out some hummus for a snack. Before you eat it, you mentally test the following hypotheses:

          H0: The hummus has listeria      H1: The hummus does not have listeria

          (Note: Listeria is a bacterium that can lead to serious illness or death.)

(a) What are the results and consequences of a Type I error in this problem?

(b) What are the results and consequences of a Type II error in this problem?

(c) Should you use a large or small significance level? Explain.

Explanation / Answer

a)

Concequences of type 1 error : The snacks will have the bacteria (this true null would be rejected falsely) and we would eat the snacks and that can lead to serious illness or death

b)

In type 2 error we would fail to reject a false null hypothesis.

Concequences of type 1 error : We would not consume the snack even though it does not containds the bacteria

c)

Smaller significance levels should be used as we want to reduce the type 1 error as less as possible otherwise can even result to death.

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