A sample is used to obtain a 95% confidence interval for the mean of a population. The confidence interval goes from 15 to 19. If the same sample had been used to test the null hypothesis that the mean of the population is equal to 20 versus the alternative hypothesis that the mean of the population differs from 20, the null hypothesis could be accepted at a level of significance of 0.02.

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Since the confidence interval does not include 20 (the value stated in the null hypothesis), it would be rejected at a significance level of 0.05 (which corresponds to the 95% confidence level). Therefore, it cannot be accepted at a lower significance level of 0.02.

A Sample Is Used to Obtain a 95% Confidence Interval