Which of the Following Statements Are Needed in Constructing the Likelihood

Multiple Choice

Which of the following statements are needed in constructing the likelihood ratio test?

A) Finding the largest value of the likelihood for any $\theta \text { in } \Omega _ { 0 }$
(by finding the maximum
Likelihood estimate within $\Omega _ { 0 }$
And substituting back into the likelihood function) .
B) Find the largest value of the likelihood for any $\theta \text { in } \Omega _ { \mathrm { 0 } }$
C) Forming the ratio $\lambda \left( x _ { 1 } , \ldots , \ldots , x _ { n } \right)$
= maximum likelihood for $\theta \text { in } \Omega _ { 0 } /$
Maximum likelihood for $\theta \text { in } \Omega _ { \mathrm { 0 } }$
D) All of the above statements are needed.
E) Only statements A and B are needed.