The best method to obtain a random sample of the employees to be surveyed would be selecting every tenth employee that enters the building. This method provides a systematic way to include a diverse range of employees and reduces bias, as it does not limit the selection to specific groups or voluntary participants.
The other options are not ideal for determining a random sample:
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Selecting all employees who do not own a car - This excludes those who do own cars and may not accurately represent the entire employee population.
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Selecting five employees from each department who volunteer to participate - Volunteering can lead to self-selection bias, as it may attract those with stronger opinions or different circumstances.
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Selecting all the hospital’s nurses - This is also not a random sample since it targets a specific group rather than including employees from all departments.
Thus, selecting every tenth employee entering the building is the best choice for gathering a random sample.