The Problem:
Slow response times by paramedics, firefighters, and policemen can have serious consequences for accident victims. IN the case of life-threatening injuries, victims generally need medical attention within 8 minutes of the accident. Several cities have begun to monitor emergency response times. In one such city, emergency personnel took more than 8 minutes to arrive on 22% of all calls involving threatening injuries last year. The city manager shares this information and encourages these first responders to "do better". After 6 months, the city manager selects an SRS of 400 calls involving life threatening injuries and examines the response time. She then performs a test at the alpha level= 0.05 level of null hypothesis: p=0.22 vs alternative hypothesis: p<0.22, where p is the true proportion of calls involving life threatening injuries during this 6 month period for which emergency personnel took more than 8 minutes to arrive.
A) Describe a Type 1 error and a Type 2 error in this setting.
My answer:
Type 1: The emergency personnel took more than 8 minutes to arrive on 0.22 of the calls, but they didn't do better.
Type 2: The emergency personnel took less than 8 minutes to arrive on 0.22 of the calls, but they tried to do better.
Is the way I described it wrong?
1 answer