Van---

Perhaps I'm misunderstanding your question, but in a null hypothesis  
framework, the only conclusion you can draw from failing to reject  
the null hypothesis is that, based on your observed data,  you were  
unable to conclude that your null hypothesis was false.  Put another  
way, the correct conclusion for both of your hypothesis tests is  
"inconclusive."


Kyle H. Ambert
Graduate Student, Dept. Behavioral Neuroscience
Oregon Health & Science University
ambertk@ohsu.edu


On May 18, 2007, at 11:07 AM, genomenet@gmail.com wrote:

> Hi There,
>
> Using t.test to test hypothesis about which one is greater, A or B?
> where A={10,20,30},B={25,30,15}.
>
> My question is which of the following conclusions is right?
>
> #################hypothesis testing 1
>
> h0: A greater than or equal to B
> h1: A less than B
>
> below is splus code
> A=c(10,20,30)
> B=c(25,30,15)
> t.test(c(10,20,30),c(25,30,15),alternative="less")
>
> output:
> p-value=0.3359
>
> because p-value is not less than alpha (0.05), we
> cannot reject h0.
>
> so A greater than or equal to B.
>
>
> #################hypothesis testing 2
>
> h0: A less than or equal to B
> h1: A greater than B
>
> below is splus code
>
> A=c(10,20,30)
> B=c(25,30,15)
> t.test(c(10,20,30),c(25,30,15),alternative="greater")
>
> output:
> p-value=0.6641
>
> because p-value is not less than alpha (0.05), we
> cannot reject h0.
>
> so A less than or euqal to B.
> #########################################
>
> Thank you very much.
> Van
>
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