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Answer:
The true proportion for the population would be between 0.386 and 0,398 (0.392±0.06) in 95% confidence level.
Step-by-step explanation:
Confidence interval for true population proportion can be computed as p±ME where
- p is the sample proportion (
)
- ME is the margin of Error from the mean
and margin of error (ME) can be found using the formula
ME= where
- z is the corresponding statistic in 95% confidence level (1.96)
- p is the sample proportion (
- N is the sample size (250)
Using the numbers
ME= ≈ 0.06
Then the true proportion for the population would be p±ME = 0.392±0.06 in 95% confidence level.