A sample is used to obtain a 95 percent 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 0.05.

Question

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Since the 95% confidence interval for the mean (15 to 19) does not include the hypothesized population mean of 20, we would reject the null hypothesis that the population mean is 20 at the 0.05 significance level.

A Sample Is Used to Obtain a 95 Percent Confidence