Respuesta :
Answer:
(a) The conclusion of the test if null hypothesis is rejected is that we conclude that the null hypothesis that the defendant is not guilty is false and the defendant is found guilty and should be convicted.
(b) The consequence of a Type I error would be that an innocent defendant was found guilty and will be hanged but in actual he was not guilty.
(c) The conclusion of the test if we fail to reject the null hypothesis is that we conclude that the null hypothesis is true and the defendant is not guilty. The defendant should be set free.
(d) The consequence of a Type II error would be that a guilty defendant was set free but in actual it is found guilty and should be convicted.
Step-by-step explanation:
We are given the following hypothesis below;
Null Hypothesis, [tex]H_0[/tex] : The defendant is not guilty.
Alternate Hypothesis, [tex]H_A[/tex] : The defendant is guilty.
(a) The conclusion of the test if null hypothesis is rejected is that we conclude that the null hypothesis that the defendant is not guilty is false and the defendant is found guilty and should be convicted.
(b) Type I error states that the null hypothesis is rejected given the fact that null hypothesis was true.
So, here the Type I error would be to conclude that the defendant is guilty but in fact it was not guilty.
Hence, the consequence of a Type I error would be that an innocent defendant was found guilty and will be hanged but in actual he was not guilty.
(c) The conclusion of the test if we fail to reject the null hypothesis is that we conclude that the null hypothesis is true and the defendant is not guilty. The defendant should be set free.
(d) Type II error states that the null hypothesis is accepted given the fact that null hypothesis was false.
So, here the Type II error would be to conclude that the defendant is not guilty but in fact it was found guilty.
Hence, the consequence of a Type II error would be that a guilty defendant was set free but in actual it is found guilty and should be convicted.
