Suppose that a police officer is responding to a call for service in which a vic
ID: 3356569 • Letter: S
Question
Suppose that a police officer is responding to a call for service in which a victim has called 911 to report a robbery. The victim has described the offender and the the police officer believes he has located this individual a few blocks away from the scene of the robbery. As the officer moves in to approach the subject, he sees what he believes might be a gun in the suspect's hand. The police officer has two choices: 1) Shoot the suspect, 2) do not shoot the suspect. The null hypothesis is that the suspect is not armed.
1. Write down the four possibilites that might come to pass in this scenario.
- The suspect has a gun, officer shoots.
- The suspect has a gun, officer does not shoot.
- The suspect does not have a gun, officer shoots.
- The suspect does not have a gun, officer does not shoot.
2. Which two of these four possibilities are not errors by the officer?
- The suspect has a gun, officer shoots.
- The suspect does not have a gun, officer does not shoot.
3. Which is a Type I Error?
4. Which is a Type II Error?
5. Understanding that there is a tradeoff between a, the Type I Error Rate, and 1-B, power, if you were the officer, would you set a at 0.01 or 0.05? Describe the tradeoff that is involved.
Explanation / Answer
Solution-
1. The suspect has a gun, officer shoots.
The suspect has a gun, officer does not shoot.
The suspect does not have a gun, officer shoots.
The suspect does not have a gun, officer does not shoot.
2. The suspect has a gun, officer shoots.
The suspect does not have a gun, officer does not shoot.
3. Type 1 error happens when null hypothesis is true and we reject it. Here if suspect is not armed and still officer shoots, that would be a type 1 error.
4. Type 2 error happens when null hypothesis is not true ie.false and we do not reject it. Here if suspect is armed and still officer does not shoot, that would be a type 2 error.
TY!
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