Using the confidence interval when conducting a two-tail test for the population mean $\mu$ , we do not reject the null hypothesis if the hypothesised value for $\mu$ is smaller than the upper confidence limit.

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When conducting a two-tail test, we reject the null hypothesis if the hypothesized value for μ falls outside of the confidence interval. Therefore, we would reject the null hypothesis if the hypothesized value for μ is smaller than the lower confidence limit or larger than the upper confidence limit.

Using the Confidence Interval When Conducting a Two-Tail Test for the Population