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We can construct a 95% confidence interval of plausible values for a parameter by including all values that fall within 2 standard deviations of the

We can construct a 95% confidence interval of plausible values for a parameter by including all values that fall within 2 standard deviations of the sample statistic. This method is only valid when the null distribution follows a bell-shaped, symmetric distribution. Thus, we can present the 95% confidence interval for the long-run probability (or population proportion), , in symbols as

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