Hi
Any Body pass me the formula for Type II error in testing of Hypothesis
REgards
Statsvenu
A type II error occurs when one fails to reject the null hypothesis when the alternative is indeed true. The probability of a type II error is denoted by $\displaystyle \beta$. Conisder the following test:
$\displaystyle H_{0}:\theta=\theta_{0}$ vs. $\displaystyle H_{a}:\theta=\theta_{a}$
Then, by the definition above, the probability of a type II error, $\displaystyle \beta$ is
$\displaystyle \beta=P(\theta$ is not in the rejection region when $\displaystyle \theta=\theta_{a})$.
Notice, this is a simple hypothesis test. We can only compute a type II probability for specific values of $\displaystyle \theta_{a}$.