The Mechanism · Gated-generation receipt

gen-state-type-i-and-type-ii-errors-precisely-and-explain-why-it-fd6e

stable pending witness
2026-05-29 07:59:55 UTC · anthropic/claude-sonnet-4-5

Prompt

State type I and type II errors precisely and explain why it matters in 2-3 sentences.
86 chars

Generation

# Type I and Type II Errors **Type I Error (α):** Rejecting the null hypothesis when it is actually true (false positive) **Type II Error (β):** Failing to reject the null hypothesis when it is actually false (false negative) ## Why It Matters These errors have real-world consequences with different costs depending on context. In medical testing, a Type I error might mean treating a healthy patient unnecessarily, while a Type II error could mean missing a serious disease. Researchers must balance these risks when setting significance levels, as reducing one type of error typically increases the other.
28 tokens in · 132 tokens out · 3658 ms · $0.0021

The four gates

RED
pass
no disqualifying input patterns detected
FLOOR
pass
output above protective minimum; no mismatches
WAY
pass
no declared way_path (Way check NA); no coercion language
EXECUTION
deferred
no witnesses available (Witness Roll not yet constituted)

Verifier results

scripture_anchors NOT_APPLICABLE
0 Scripture citation(s) extracted
theology_doctrine NOT_APPLICABLE
no doctrine keyword patterns detected

Metrics

Total latency
3664.9 ms
Base LLM
3657.9 ms
Verifiers
0.2 ms
Gates
0.0 ms
Cost
$0.0021

Trail

07:59:55 received prompt_chars=86 verifiers=['scripture_anchors', 'theology_doctrine']
07:59:55 red_gate decision=pass reason=no disqualifying input patterns detected
07:59:59 base_llm_call model=anthropic/claude-sonnet-4-5 tokens_in=28 tokens_out=132 latency_ms=3657.9 cost_usd=0.0021
07:59:59 verifier:scripture_anchors verdict=NOT_APPLICABLE summary=0 Scripture citation(s) extracted
07:59:59 verifier:theology_doctrine verdict=NOT_APPLICABLE summary=no doctrine keyword patterns detected
07:59:59 floor_gate decision=pass reason=output above protective minimum; no mismatches
07:59:59 way_gate decision=pass reason=no declared way_path (Way check NA); no coercion language
07:59:59 execution_gate decision=deferred reason=no witnesses available (Witness Roll not yet constituted)
07:59:59 signed hash_algo=sha256 hash=sha256:2ec2f80bb20b80b9705ee74c46392106ee96b93c88029beda02a9f5ceb90bf53

Content hash

sha256:2ec2f80bb20b80b9705ee74c46392106ee96b93c88029beda02a9f5ceb90bf53

SHA256 over the canonical JSON (excluding this field). Tamper detection. Ed25519 signing planned for v2 once the operator’s signing key is provisioned on disk.

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