A test with low power may fail to reject a false null hypothesis, resulting in a Type II error. This hypothesis is not assumed to be true in an absolute philosophical sense, but rather operationalized as a baseline to challenge with statistical evidence.
Understanding Type Errors When Rejecting the Null Hypothesis
It merely signals that the data provide sufficient evidence to discard the assumption of no effect. A rejection of the null hypothesis does not prove that the alternative hypothesis is correct, nor does it quantify the magnitude of an effect.
Researchers must therefore ensure their study design includes adequate sample sizes to minimize the risk of inconclusive results and maximize the reliability of their findings. It typically asserts that there is no relationship between two measured phenomena, or that a potential treatment has no effect.
Understanding Type II Error When Failing to Reject the Null Hypothesis
Conversely, a test with high power is more sensitive to detecting small, meaningful effects. Balancing Errors in Decision Making.
More About What is rejecting the null hypothesis
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