A newspaper compiled the following statistics concerning our legal system. Denot

Question

A newspaper compiled the following statistics concerning our legal system. Denote the null hypothesis as: The person is innocent. How many Type 1 errors were made (detecting an effect that is not real)? How many Type 2 errors were made (not detecting an effect that is real)? Describe the compromise between these two types of errors. That is, what tends to happen when effort is made to reduce one type of error? State the corresponding null hypothesis in a legal system of guilty until proven innocent.

Explanation / Answer

8 type I errors are done. The fact is that they are truly innocent , but declared guilty

19 type II errors are done. The fact is that they are truly guilty , but declared innocent.

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if type I error is reduced, chances of Type II error increase, and vice verse. the best compromise is to keep Type II error as small as possible , as smaller the type Ii error better is the power of the test. it is important to identify the truely guilty people correctly and declare them guilty.

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The null hypothesis for this situation would be:

The person is guilty

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