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Difficulty: HardBridging Conflicting Premises

Consider the following scenario and the proposed resolution:

Scenario: A major research hospital implemented a rigorous hand-hygiene protocol for all medical staff, designed specifically to reduce the transmission of hospital-acquired bacterial infections. An independent, year-long audit confirmed a 98% staff compliance rate with the new protocol. Hospital administrators logically expected the frequency of these infections to plummet. However, at the end of the year, the total number of hospital-acquired bacterial infections recorded at the facility was 40% higher than the total number recorded in the previous year.

Statement to Evaluate: The additional premise *"Midway through the year, the hospital completed a massive infrastructure expansion that absorbed patient populations from three closed regional clinics, effectively doubling the hospital's total patient admission volume compared to the previous year"* successfully bridges the conflicting premises and resolves the apparent discrepancy.

Answer: Answer

Answer

True
The statement is True because it successfully bridges the logical gap using a rate-versus-count resolution. The paradox relies on the tension between a highly effective hygiene protocol and a 40% rise in total infections. By introducing the fact that the total patient population doubled (a 100% increase in baseline volume), the premise proves that a 40% increase in total infections actually represents a steep decline in the per-patient infection rate, perfectly explaining both premises.

Step-by-Step Solution

1
Analyze the conflicting premises presented in the scenario.
Premise 1: Staff achieved 98% compliance with a highly effective hygiene protocol. Premise 2: The total number of hospital-acquired infections increased by 40%.
Identifying the exact nature of the conflict is required to evaluate potential resolutions.
2
Identify the logical gap or discrepancy archetype.
The discrepancy involves an expectation about a 'rate' (frequency per patient) contrasting with an outcome based on a 'total number' (absolute count).
Recognizing the shift from rates to absolute numbers reveals what a successful bridging premise must accomplish.
3
Evaluate the proposed statement against the discrepancy.
The statement explains that the hospital's total patient volume doubled (a 100% increase in baseline population).
We must determine if this new fact allows both original premises to be simultaneously true without contradiction.
4
Synthesize the premises and the new statement.
If the patient population increased by 100% but total infections only increased by 40%, the per-patient infection rate actually decreased significantly. This aligns perfectly with the 98% hygiene compliance.
Because the statement successfully reconciles the two seemingly opposing facts, it correctly bridges the conflicting premises.

Key Concept

Bridging Conflicting Premises (Rate vs. Count)
Estimated Time:1m 30s
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Topics

Bridging Conflicting Premises

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