How to prove this calculation is positive or negative ?

Question

raden · Answer

if :
0 < p < 1
0 < q < 1
$$0<\alpha<1$$
then $$2C{y} ((1- 2\alpha) - \alpha(p-q)) is negative or positive ?$$

raden · Answer

any idea @ganeshie8 ?

ganeshie8 · Answer

$$\large   ^2C_y [(1- 2\alpha) - \alpha(p-q)] $$

ganeshie8 · Answer

its like that ? the first term is a combination right ?

raden · Answer

notice that :
2Cy is always positive, i just wondering the value after it

ganeshie8 · Answer

ohkay.. all other variables are between (0, 1)

raden · Answer

yes, like that

raden · Answer

i just want know the value of ( (1-2α)-α(p-q) ) is positive or negative with each interval given

ganeshie8 · Answer

ganeshie8 · Answer

is that what you looking for ? it is taking both negative and positive values..

raden · Answer

so, we cant say it is only postive or only negative?

ganeshie8 · Answer

i think thats right !

ganeshie8 · Answer

may i know the actual complete problem ? :)

raden · Answer

this is ratio regretion problem :)

ganeshie8 · Answer

never heard of it lol the name looks scary !

raden · Answer

me too, this is only the question from my student... but long time im not study about regretion, actually it is in statistic topic

ganeshie8 · Answer

ohkay :) btw @ikram002p  is good with stats

raden · Answer

ok, thanks for your time :)