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 life-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 times. She then performs a test at the a a - 0.05 level of Ho p- 0.22 H, 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 First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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< Question 18 of 24 >
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 life-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 times. She then performs a test at the a a = 0.05 level of
Họ p = 0.22
Hp< 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.
Which type of error is more serious in this case? Justify your answer.
OA Type II error would be more serious because the city would underestimate the ability of the emergency personnel to
get to the scene quickly and would keep trying to get the response times lower.
O A Type I error would be more serious because the city would overestimate the ability of the emergeney personnel to get
to the scene quickly and people may end up dying.
O A Type I error would be more serious because this would mean that more people are suffering life-threatening injuries.
A Type I error would be more serious because this would mean that some life-threatening injuries aren't treated at all
when they should be.
O A Type Il error would be unore serious because the city would underestimate the ability of the emergeney personnel to
get to the scene quickly and more people will get treatment than expected.
Transcribed Image Text:< Question 18 of 24 > 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 life-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 times. She then performs a test at the a a = 0.05 level of Họ p = 0.22 Hp< 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. Which type of error is more serious in this case? Justify your answer. OA Type II error would be more serious because the city would underestimate the ability of the emergency personnel to get to the scene quickly and would keep trying to get the response times lower. O A Type I error would be more serious because the city would overestimate the ability of the emergeney personnel to get to the scene quickly and people may end up dying. O A Type I error would be more serious because this would mean that more people are suffering life-threatening injuries. A Type I error would be more serious because this would mean that some life-threatening injuries aren't treated at all when they should be. O A Type Il error would be unore serious because the city would underestimate the ability of the emergeney personnel to get to the scene quickly and more people will get treatment than expected.
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