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What proportion of sample statistics in a sampling distribution do you expect to have 95% confidence intervals which do NOT contain the true population parameter?

What proportion of sample statistics in a sampling distribution do you expect to have 95% confidence intervals which do NOT contain the true population parameter?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Question:** What proportion of sample statistics in a sampling distribution do you expect to have 95% confidence intervals which do NOT contain the true population parameter? --- **Explanation:** In the context of confidence intervals, a 95% confidence interval means that we expect 95% of the intervals calculated from repeated sampling to contain the true population parameter. Conversely, this implies that 5% of the intervals will not contain the true population parameter. This question addresses the concept of confidence level and its implications for interpreting statistical results.
Transcribed Image Text:**Question:** What proportion of sample statistics in a sampling distribution do you expect to have 95% confidence intervals which do NOT contain the true population parameter? --- **Explanation:** In the context of confidence intervals, a 95% confidence interval means that we expect 95% of the intervals calculated from repeated sampling to contain the true population parameter. Conversely, this implies that 5% of the intervals will not contain the true population parameter. This question addresses the concept of confidence level and its implications for interpreting statistical results.
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The 95% confidence interval for a population parameter μ is μ±1.96×SE.

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