Math Problem Statement
Solution
The question asks for the proportion of all possible confidence intervals that will contain the true parameter value for a 99% confidence level.
Explanation:
The confidence level directly represents the proportion of confidence intervals that will contain the true parameter value in repeated sampling. For a 99% confidence level, this proportion is 99%, or 0.99, since confidence level indicates how confident we are that the interval will include the true value.
Final Answer:
0.99
Would you like further details or explanations?
Related Questions:
- What does a confidence interval represent in statistical terms?
- How is a confidence level different from a probability?
- Why is a 99% confidence level wider than a 95% confidence level?
- How does sample size affect the width of a confidence interval?
- What happens if the population standard deviation is unknown when calculating confidence intervals?
Tip:
Remember, increasing the confidence level (e.g., from 95% to 99%) reduces the likelihood of missing the true parameter but increases the width of the interval.
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Math Problem Analysis
Mathematical Concepts
Confidence Intervals
Confidence Level
Probability
Formulas
Proportion = Confidence Level (in decimal form)
Theorems
Definition of Confidence Level
Suitable Grade Level
Grades 10-12
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