If the 95% confidence interval of the population mean includes the value specified in the null hypothesis, then we expect the P-value of the one-sample t-test to be larger than 0.05.

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If the 95% confidence interval includes the value specified in the null hypothesis, it means there is not enough evidence to reject the null hypothesis at the 5% significance level, which corresponds to a P-value larger than 0.05.

If the 95% Confidence Interval of the Population Mean Includes