In: Statistics and Probability
What happens when alpha is larger than the p-value
Solution :-
Alpha sets the standard for how extreme the data must be before we can reject the null hypothesis. The p-value indicates how extreme the data are. We compare the p-value with the alpha to determine whether the observed data are statistically significantly different from the null hypothesis:
The standard is the alpha level, usually set of 0.05.
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Alpha is larger than the p-value means p value is less than alpha.
If the p-value is less than or equal to the alpha (p< 0.05), then we reject the null hypothesis, and we say the result is statistically significant.
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If the p-value is Larger than alpha (p > 0.05), then we fail to reject the null hypothesis, and we say that the result is statistically nonsignificant (n.s.).