Two-sided confidence intervals for a probability <InlineEquation ID="IEq1"> <EquationSource Format="TEX">$$p$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>p</mi> </mrow> </math> </EquationSource> </InlineEquation> under a prescribed confidence level <InlineEquation ID="IEq2"> <EquationSource Format="TEX">$$\gamma $$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi mathvariant="italic">γ</mi> </mrow> </math> </EquationSource> </InlineEquation> are an elementary tool of statistical data analysis. A confidence interval has two basic quality characteristics: i) exactness, i. e., whether the actual coverage...</equationsource></equationsource></inlineequation></equationsource></equationsource></inlineequation>

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