In the country a legal system, a defendant is presumed innocent until proven guilty. consider a null hypothesis, upper h 0, that the defendant is innocent, and an alternative hypothesis, upper h 1, that the defendant is guilty. a jury has two possible decisions: convict the defendant (i. e., reject the null hypothesis) or do not convict the defendant (i. e., do not reject the null hypothesis). explain the meaning of the risks of committing either a type i or type ii error in this example.

Type 1 error: If the defendant is innocent and jury convict the defendant

Type 2 error : If the defendant is guilty and jury do not convict the defendant.

Explanation:

Given : Null hypothesis : the defendant is innocent .

Alternative hypothesis : the defendant is guilty.

A jury has two possible decisions: Convict the defendant (i.e., reject the null hypothesis) or do not convict the defendant (i.e., do not reject the null hypothesis).

We know that Type 1 error is a false positive statement that you reject the true null hypothesis.

i.e. If the defendant is innocent and jury convict the defendant then it is the Type 1 error.

Type 2 error is a false negative statement that you do not reject the false null hypothesis.

i.e. If the defendant is guilty and jury do not convict the defendant then  it is the Type 2 error.