statistics

A hotel installs smoke detectors with adjustable sensitivity in all public guest rooms. (a) State the null and alternative hypotheses. (b) Define Type I and II error. What are the consequences of each? (c) Which is more to be feared, and by whom? (d) If the hotel decides to reduce รข risk, what would be the consequences? Who would be affected?

Answers

a) Null Hypotheses: Installing smoke detectors with adjustable sensitivity in all public guest rooms will not make a difference in the detection of potential fires. Alternative Hypotheses: Installing smoke detectors with adjustable sensitivity in all public guest rooms will make a difference in the detection of potential fires. b) Type I Error: A Type I Error is when a false positive occurs and a false alarm is triggered when there is no actual fire. The consequences of a Type I Error are that money will be wasted on unnecessary alerting and response to the false alarm. Type II Error: A Type II Error is when a false negative occurs and no alarm is triggered when there is actually a fire. The consequences of a Type II Error are greater potential for destruction of property, injury, and even death since it could take longer to respond to an actual fire. c) Type II error is more to be feared, especially by hotel owners and guests, as the implications of a false negative can be more severe and costly. d) If the hotel chooses to reduce risk, they could invest in more sensitive smoke detectors or other fire safety measures. This could also involve increased training and inspections of the safety mechanisms to reduce the risk and/or severity of a fire. The result would be improved safety for guests, employees and the building, as well as increased awareness of fire safety practices. It could also lead to reduced insurance premiums, as lower risks

Answered by brianmontgomery

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