A man is on trial accused of murder in the first degree.The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent.This situation can be modeled as a hypothesis test with the following hypotheses:
$H _ { 0 }$ : The defendant is not guilty.
$H _ { A }$ : The defendant is guilty.
Explain the result of a Type II error.
A)The jury will fail to reach a decision.
B)The jury will conclude that the defendant is guilty when in fact he is not guilty.
C)The jury will conclude that the defendant is not guilty when in fact he is not guilty.
D)The jury will conclude that the defendant is guilty when in fact he is guilty.
E) The jury will conclude that the defendant is not guilty when in fact he is guilty.

Question

A man is on trial accused of murder in the first degree.The prosecutor presents evidence that he hopes will convince the jury to reject the hypothesis that the man is innocent.This situation can be modeled as a hypothesis test with the following hypotheses:
 $H _ { 0 }$ : The defendant is not guilty.
$H _ { A }$ : The defendant is guilty.
Explain the result of a Type II error.
A)The jury will fail to reach a decision.
B)The jury will conclude that the defendant is guilty when in fact he is not guilty.
C)The jury will conclude that the defendant is not guilty when in fact he is not guilty.
D)The jury will conclude that the defendant is guilty when in fact he is guilty.
E)  The jury will conclude that the defendant is not guilty when in fact he is guilty.

Quizplus · Accepted Answer

A Type II error occurs when the null hypothesis ($H_0$) is not rejected when it is false. In this context, it means the jury concludes the defendant is not guilty (fails to reject $H_0$) when in fact he is guilty ($H_A$ is true).

A Man Is on Trial Accused of Murder in the First