Hi,

I was answering for cbk39553 ;)

Ho could be only Ho: p=0, not p<=0
And critical value of t for 5% one tile is 1.812 not 2.228 (this is for two
tile)

Szamot
----- Original Message -----
From: "Madan Kundu" <madan4331@...>
To: <Statisticians_group@...>
Sent: Saturday, December 03, 2005 10:34 AM
Subject: Re: [Statisticians_group] Why won't anybody help me?


> Hi jerkos,
>
> You want to test:
> Ho: p <= 0
> H1: p >0
>
> clearly this is a one-sided test.
>
> Here your test statistic will be
> t= r*sqrt(n-2)/sqrt(1-r*r)
> = 0.32*sqrt(12-2)/sqrt(1-0.32*0.32)
> [since r=sample correlation=0.32
> and n= sample size = 12 ]
> = 1.06892
>
> Now this t is follows student t distribution with 12-2 = 10 degrees of
> freedom.
>
> Now the table value of t at 10 degrees of freedom and 5% level of
> significance is 2.228139.
>
> Since the calculated value (=1.06892) is less than the table value
> (=2.228139) therefore we accept Ho.
>
> So our conclusion is " there is no evidence from the sample that the
> population correlation coefficient is different from zero."
>
>
> Hope this helps.
>
> I want to say another thing to you that I have seen your problem two days
> ago but I can reply due to involvement with other works. Don't be
> discouraged...plz. we all the member are always keen to help each other.
> So if you have further problem in future then please don't hesitate to
> post it.
>
> with regards,
>
> Madan
>
> jerkos <jerkos@...> wrote:
> >> >
>>> > The following hypothesis are given:
>>> >
>>> > Ho: p is less or equal to 0
>>> > H1: p is greater than 0
>>> >
>>> > A random sample of 12 observations indicated a correlation of .32
>>> > Can we conclude that the correlation in the population is greater
>>> than 0?
>>> > Use the .05 significance level.
>>> >
>>> > t = r * sqrt(n-2)/sqrt(1-r^2) which would be .32 8 sqrt (10)
>>> > sqrt(1-.32^2)
>>> >
>>> What do I do after this?Please please someone help me.Thank you
> I've received t statistics.
> Now you have to find critical value for t (one side for 0,05 and v=12-2
> degrees of freedom or equel two side for 0,10) [t_crit = 1,812]
> If t is equel or greather than critical valu you can reject Ho, if not, Ho
> could be true.
> Szamot
>
>
>
>
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