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Statistics: Confidence intervals explanation

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What do confidence intervals represent? What is the most controllable method of increasing the precision of or narrowing the confidence interval? What percentage of times will the mean, or population proportion, not be found within the confidence interval?

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The expert examines confidence interval explanations for statistics.

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Confidence intervals are computed from a data sample that is considered to represent a population. The values of the interval are most likely to cover the true population number. In other words, the interval between X and Y will surely contain the value that represents the population.

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