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September 29th, 2016, 03:39 PM  #1 
Newbie Joined: Sep 2016 From: Chicago Posts: 7 Thanks: 0  Type I and Type II Errors
Can somebody please explain this to me? It would mean the world! Thanks so much brainiacs! (1) When β is .05, the probability of a Type I error is... (2) When β is .05, the probability of a Type II error is... 
September 29th, 2016, 05:17 PM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,790 Thanks: 629 Math Focus: Yet to find out. 
Do you know what is meant by Type I and Type II errors?

September 29th, 2016, 05:19 PM  #3  
Senior Member Joined: Sep 2015 From: USA Posts: 2,404 Thanks: 1306  Quote:
A Type II error is incorrectly declaring H0 when H1 was correct, i.e. a missed detection. The usual notation is that $Pr[\text{Type I error}]=\alpha$ $Pr[\text{correct detection}]=\beta \Rightarrow Pr[\text{Type II error}]=1\beta$ So we can't answer (1) based on the information given. In (2) $Pr[\text{Type II error}]=1\beta = 0.95$  

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