DA0-001 · Question #180
Which of the following best describes a 95% confidence interval?
The correct answer is A. There is a 95% probability that the population mean lies within the stated interval. A 95% confidence interval signifies that there is a 95% probability that the calculated interval contains the true population parameter, such as the population mean.
Question
Which of the following best describes a 95% confidence interval?
Options
- AThere is a 95% probability that the population mean lies within the stated interval.
- BA stated range may contain 95% of the population mean, 95% of the time.
- CA set of ranges contains the population mean with 95% certainty.
- DA range contains 95% of the population mean.
How the community answered
(45 responses)- A89% (40)
- B2% (1)
- C2% (1)
- D7% (3)
Why each option
A 95% confidence interval signifies that there is a 95% probability that the calculated interval contains the true population parameter, such as the population mean.
This statement correctly describes a 95% confidence interval, indicating that if the sampling process were repeated numerous times, 95% of the intervals constructed would contain the true population mean, making it 95% probable that this specific interval does.
This phrasing is imprecise; it incorrectly suggests that the population mean itself is contained within the interval only 95% of the time, rather than the interval containing the mean with 95% probability.
Concept tested: Statistical inference - confidence intervals
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