Type I and Type II errors
Sampling and inference · Mathematics
Study notes
Q: A fire alarm system: H₀ = no fire. Describe both errors and their costs. Type I (false alarm): reject true H₀ - alarm with no fire. Cost: annoyance, evacuations. Type II (missed fire): keep false H₀ - no alarm during fire. Cost: lives! Here Type II is far worse - so the system is tuned sensitive (accepting more false alarms).