For a large population, what minimum sample size is required to estimate a population proportion with 95 percent confidence and a margin of error of 0.05 when no prior estimate of the proportion is available?
Correct answer: C. 385
- A. 196
- B. 256
- C. 385
- D. 400
Explanation
When no prior proportion is available, p = 0.50 is used because it gives the maximum variance. The calculation (1.96² × 0.50 × 0.50) ÷ 0.05² gives 384.16, which is rounded up to 385.
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