# Math Help - how to find the probability of Type II error

1. ## how to find the probability of Type II error

$f(x : \theta)=\frac{\theta}{(x+\theta)^{2}} , \ \ \ H_{0}:\theta=1, \ \ \ H_{1}:\theta=2$

Mr F edit: Additional information given to me via pm:

x>0, theta>0, is an unknown parameter.

find the likelihood ratio test .
and show the probability of TYPE II error is

19/21

2. Originally Posted by szpengchao
$f(x : \theta)=\frac{\theta}{(x+\theta)^{2}} , \ \ \ H_{0}:\theta=1, \ \ \ H_{1}:\theta=2$

Mr F edit: Additional information given to me via pm:

x>0, theta>0, is an unknown parameter.

find the likelihood ratio test .
and show the probability of TYPE II error is

19/21
More information is needed here I think to calculator $\beta$. A value of $\alpha$, perhaps ....?

3. Once we have alpha we can get Beta.