Confidence Level
Definition
Confidence level refers to how confident we are that our interval estimate contains or captures the true population parameter. It represents our degree of certainty or reliability in estimating this parameter.
Analogy
Think about a weather forecast. The confidence level is like the percentage chance of rain mentioned in the forecast. A higher confidence level means we are more certain that it will rain, while a lower confidence level indicates less certainty.
Related terms
Significance Level: The probability of rejecting the null hypothesis when it is actually true.
Standard Error: A measure of the variability or spread of sample statistics around their population parameters.
Hypothesis Testing: A statistical method used to make inferences about population parameters based on sample data and assumptions.
"Confidence Level" appears in:
Study guides (4)
AP Statistics - 6.2 Constructing a Confidence Interval for a Population Proportion
AP Statistics - 7.7 Justifying a Claim About the Difference of Two Means Based on a Confidence Interval
AP Statistics - 9.2 Confidence Intervals for the Slope of a Regression Model
AP Statistics - 9.3 Justifying a Claim About the Slope of a Regression Model Based on a Confidence Interval
Additional resources (1)
Practice Questions (13)
What does the confidence level reflect in a confidence interval?
What does the confidence level represent in a two-sample z-interval?
In a two-sample z-interval, if the confidence level is increased, what happens to the width of the confidence interval?
What happens if the confidence level is increased in a two-sample z-interval?
In constructing a confidence interval for a population mean, increasing the confidence level from 90% to 95% will result in:
In constructing a confidence interval for a population mean, increasing the confidence level will result in:
What is the recommended confidence level for constructing a confidence interval for a population mean?
What is the relationship between the confidence level and the width of a confidence interval?
Which of the following statements about the confidence level is true?
What happens to the width of a confidence interval as the confidence level increases?
If the confidence level is 90%, what is the critical value in a one-sample z-interval for a proportion?
What does the confidence level determine for a confidence interval?
For a given sample, what happens to the width of a confidence interval for a population proportion as the confidence level increases?
Resources
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