Asked by
DJYoung Sauce
on Oct 11, 2024
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A man on trial is 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: H0: The defendant is not guilty.
HA: 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 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 not guilty when in fact he is guilty.
E) The jury will conclude that the defendant is guilty when in fact he is not guilty.
Type II Error
A statistical error that occurs when a false null hypothesis is not rejected, also known as a false negative.
Not Guilty
A legal declaration that a defendant has not been proven to have committed the charges against them beyond a reasonable doubt.
Hypothesis Test
A method in statistics to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population.
- Understand the consequences of committing Type I and Type II errors during hypothesis evaluation.
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Learning Objectives
- Understand the consequences of committing Type I and Type II errors during hypothesis evaluation.