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 rejected at a level of significance of 0.02.

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The 95% confidence interval from 15 to 19 does not include the value 20, which suggests that the null hypothesis (that the mean is equal to 20) would be rejected at the 0.05 level of significance. However, without more information, we cannot precisely determine if it would be rejected at the 0.02 level of significance, as the exact p-value depends on the sample size, variability, and the test used.

A Sample Is Used to Obtain a 95% Confidence Interval