What is the interpretation of a 95% confidence interval that contains zero?
- The sample mean is significantly different from zero
- The sample size was not large enough to determine a precise estimate of the population parameter
- There is a 95% chance that the true population parameter is zero
- There is no significant evidence to suggest that the true population parameter is different from zero
If a 95% confidence interval includes zero, it means that there is no significant evidence to suggest that the true population parameter is different from zero. This is often interpreted in the context of hypothesis testing, where a confidence interval that includes zero implies that we fail to reject the null hypothesis.
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