A nurse applying for a job in a hospital notes that administration promotes accurate and timely ...

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To maintain a strong culture of safety, nurses need to have ownership and a sense of personal responsibility in promoting a work environment that prioritizes patient safety.
In a culture where proactive reporting of safety problems and timely reporting of errors is the norm, nurses need to feel safe from disciplinary action when they make such reports.
It may or may not be true that the hospital has had some significant issues with patient safety in the past; one cannot tell from the information given.
An immature safety culture should focus on teamwork and communication skills; this environment is more mature, with a focus on more advanced safety concepts.