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Statistical Vs Practical

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Statistical Vs Practical


1. The problem asks to explain the difference between statistical significance and practical significance. 2. **Statistical significance** means that the sample statistic is unlikely to have come from the population described by the null hypothesis. This is usually determined by a hypothesis test where a p-value less than a chosen significance level (e.g., 0.05) indicates statistical significance. 3. **Practical significance** refers to whether the observed difference or effect size is large enough to be meaningful or important in a real-world context, beyond just being statistically detectable. 4. To summarize, statistical significance tells us if an effect is likely not due to random chance, while practical significance tells us if the effect is large or important enough to matter in practice. 5. Therefore, the correct explanation is: "Statistical significance means that the sample statistic is not likely to come from the population whose parameter is stated in the null hypothesis. Practical significance refers to whether the difference between the sample statistic and the parameter stated in the null hypothesis is large enough to be considered important in an application."