Using the confidence interval when conducting a two-tail test for the population mean μ,we do not reject the null hypothesis if the hypothesized value for μ falls between the lower and upper confidence limits.

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This statement is true. If the hypothesized value for μ falls within the confidence interval, we cannot reject the null hypothesis because the null hypothesis assumes that the hypothesized value is the true population mean.

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