Factory Safety Director: Last year, 85 percent of the reported injuries at our manufacturing plant happened during the morning shift, whereas only 15 percent occurred during the evening shift. It is clear from this data that our morning shift operations are inherently more hazardous than our evening shift operations.
Which of the following most accurately describes a flaw in the Factory Safety Director's reasoning?
- Aassumes a causal relationship between the time of day and the occurrence of injuries based merely on a statistical correlation
- Billicitly shifts the meaning of the term "hazardous" between the premises and the conclusion
- fails to consider the comparative number of employees working during each of the two shiftsCevap
- Dtreats a condition that is necessary for an injury to happen as though it were sufficient to guarantee an injury
- Ecriticizes the safety of the morning shift without proposing a viable solution to reduce the number of injuries
Cevap
The option stating that the argument fails to consider the comparative number of employees working during each of the two shifts.
The correct answer identifies that the Director uses percentages of the total number of injuries to compare the relative danger (hazard level) of two shifts. However, a higher proportion of total injuries does not necessarily mean the shift is more dangerous for an individual worker. If the morning shift employs 1,000 workers and the evening shift employs only 10 workers, the morning shift would naturally have a much larger percentage of the total injuries even if the evening shift is vastly more dangerous per worker. The argument fundamentally confuses proportions of a total with relative rates by failing to account for the population size of each shift.
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Flaw in the Reasoning: Percentages vs. Numbers