How to calculate Type 1 error and Type 2 error probabilities?

mayonaisea2ef

mayonaisea2ef

Answered question

2023-02-21

How to calculate Type 1 error and Type 2 error probabilities?

Answer & Explanation

Julien Zavala

Julien Zavala

Beginner2023-02-22Added 7 answers

Null Hypothesis: H 0 : μ = μ 0
Alternative Hypothesis: H 1 : μ < , > , μ 0
Type 1 errors in hypothesis testing is when you reject the null hypothesis H 0 but in reality it is true
Type 2 errors in hypothesis testing is when you Accept the null hypothesis H 0 but in reality it is false
We can think about:
Probability of event α happening, given that β has occured:
P ( α β ) = P ( α β ) P ( β )
In light of this, the Type 1 and Type 2 errors in hypothesis testing are as follows:
Type 1 = P ( Rejecting H 0 | H 0 True)
Type 2 = P ( Accept H 0 | H 0 False )

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