A person who committed felony was sentenced not guilty of the crime in the court

Question

A person who committed felony was sentenced not guilty of the crime in the court. What type error is it and (from the statistical point) how serious is that mistake compared to convicting a not-guilty person?

A.) It is a type II error and less serious than convicting a not-guilty person.

B.) It is a type II error and more serious than convicting a not-guilty person.

C.) It is a type I error and less serious than convicting a not-guilty person

D.) It is a type I error and more serious than convicting a not-guilty person

E.) It is a type I error and equally serious as convicting a not-guilty person

Explanation / Answer

Here the Null hypothesis is H0 : the defendant is not guilty

Alternate hypothesis Ha : the defendant is guilty

(a) It is a type II error and less serious than convicting a not-guilty person as,

The evidence leads the jury to declare a defendant not guilty, when he is in fact guilty. so,we fail to reject a null hypothesis that is false. In other words, we do not accept an alternative hypothesis when it is really true

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