A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 10.89 to 13.21. If the same sample had been used to test H ₀: m = 12 vs. H ₁: m ¹ 12, H ₀ could not be rejected at the 0.05 level.

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Since the hypothesized mean (m = 12) falls within the 95% confidence interval (10.89 to 13.21), there is not enough evidence to reject the null hypothesis (H0: m = 12) at the 0.05 significance level.

A Sample Is Used to Obtain a 95% Confidence Interval