Question: Y j B in ( n j , p j ) , j= 1,2. = l n ( p ) . log-likelihood function of is

YjBin(nj,pj) , j= 1,2. =ln(p). log-likelihood function of is l()=y+(ny)ln(1e). Use likelihood-ratio test (tLR=2(l(^)l(0))) to obtain a p-value for the null hypothesis =ln(p1p2) =0. ^=0.330979403,

YjBin(nj,pj) , j= 1,2. =ln(p). log-likelihood function of is l()=y+(ny)ln(1e). Use likelihood-ratio

Now use the likelihood-ratio test to obtain a p-Value for the same null hypothesis as in (c). Note that you may use Whichever parametrisation you choose to obtain this the result should be the same! [Hint you need to use the joint log-likelihood function, calculated rstly using the MLEs for the unknown parameters under H1 (i.e. not restricted by the condition imposed by H0) and secondly with the MLEs that are obtained when H0 is assumed to be true]

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