When calculating the 95% confidence intervals for the parameter value used in a nonsignificant statistical test, the region would usually (but not always) include the value specified in the null hypothesis.

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The 95% confidence interval represents a range of values that are considered plausible for the parameter based on the sample data. If a statistical test is nonsignificant, it means there is not enough evidence to reject the null hypothesis, which often implies that the confidence interval includes the value specified in the null hypothesis (e.g., a difference of 0 in a test for mean differences).

When Calculating the 95% Confidence Intervals for the Parameter Value