Which statement is not true about 95% confidence intervals? A 95% confidence interval of 20 to 40 means that we are 95% confident that the population proportion lies between 20 and 40. An approximate formula for a 95% confidence interval is the sample statistics $\pm$3(standard error of the statistic). If we consider all possible randomly selected samples of the same size from a population, the 95% is the percentage of those samples for which the confidence interval includes the population parameter. A 95% confidence interval is an interval of values computed from sample data that is likely to include the true population value.
Added by Janice W.
Close
Step 1
A confidence interval is a range of values that is likely to contain the true population parameter. In this case, we are estimating a population proportion. A population proportion is a measure of the proportion of a specific characteristic in a population. For Show more…
Show all steps
Your feedback will help us improve your experience
Areen Dabadghav and 71 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
With a sample size of 20, what proportion of the 95% confidence intervals contained the population mean of 50?
Sanchit J.
If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient is 1.96.
Robin C.
A population's standard deviation is $10 .$ We want to estimate the population mean within $2,$ with a $95 \%$ level of confidence. How large a sample is required?
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Watch the video solution with this free unlock.
EMAIL
PASSWORD