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Deathfish
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Ok someone tell me the official explanation of why alpha cannot be zero in hypothesis testing.
Hypothesis testing is a statistical method used to determine whether there is enough evidence to reject or accept a proposed hypothesis about a population based on a sample of data.
Alpha (α) is the level of significance used in hypothesis testing to determine the probability of making a type I error, which is rejecting a true null hypothesis. It helps us set a threshold for how much evidence we need to reject the null hypothesis.
If alpha (α) is set to zero, it means that we are not willing to accept any risk of making a type I error. This would make it nearly impossible to reject the null hypothesis and would not allow for any meaningful conclusions to be drawn from the data.
No, alpha (α) cannot be set to a value of zero in hypothesis testing. This would violate the basic principles of hypothesis testing and would lead to incorrect conclusions being drawn from the data.
The appropriate value for alpha (α) in hypothesis testing is typically chosen before conducting the experiment or analyzing the data. It should be based on the desired level of risk for making a type I error and the context of the research being conducted.