Common Misinterpretations to Avoid One of the greatest pitfalls in statistics is equating significance with importance. A statistically significant result means that the evidence contradicts the null hypothesis.
Understanding Statistical Significance After Rejecting the Null
Rejecting the null hypothesis is a step toward understanding, not the final destination of wisdom. It only indicates that the data are surprising, assuming the null hypothesis was valid.
Therefore, rejecting the null hypothesis means your data produced a p-value below this cutoff, indicating that the observed effect is unlikely to be a fluke of random sampling. A researcher might find a statistically significant correlation between ice cream sales and crime rates, but this does not imply that dessert causes criminal behavior.
Understanding Statistical Significance After Rejecting the Null
Statistical significance is the probability that the observed results, or more extreme ones, would occur if the null hypothesis were true. Interpreting the Decision Correctly Accepting that rejection implies significance, it is vital to understand what this label actually communicates.
More About If you reject the null hypothesis is it statistically significant
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