A defendant awaits the verdict in a courtroom. The judges must decide between pronouncing him guilty or

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A defendant awaits the verdict in a courtroom. The judges must decide between pronouncing him guilty or not guilty.

(a) What are the two mistakes the judges could make in coming to their decision?

(b) Criminal trials are governed by the principle “innocent until proven guilty”.

Based on this principle, what would the statistical hypotheses have to be? What kind of statistical test is needed?

(c) Quickly sketch how you would proceed with such a statistical test.

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