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Nursing
QUESTION #9190
Question 1
A Charge Nurse is conducting a study using systematic random sampling from a population of 400 patients. She selects every \(k^{th}\) patient after a random start. If the desired sample size is 50, what is the value of \(k\)?
Correct Answer Explanation
Correct Answer: C — \(k = 8\)
The formula for the sampling interval in systematic random sampling is:
\[k = \frac{N}{n}\]
Where:
The nurse randomly selects a starting point between 1 and 8, then selects every 8th patient thereafter (e.g., patient 5, 13, 21, 29...). This method ensures equal probability of selection and is more practical than simple random sampling for large populations.
The formula for the sampling interval in systematic random sampling is:
\[k = \frac{N}{n}\]
Where:
- \(N\) = population size = 400
- \(n\) = desired sample size = 50
The nurse randomly selects a starting point between 1 and 8, then selects every 8th patient thereafter (e.g., patient 5, 13, 21, 29...). This method ensures equal probability of selection and is more practical than simple random sampling for large populations.
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