Past exam of the options II course of the University of Oxford / 2013 / O5 / c / Solution

For a fully specified parameter value, do not maximize within the null. Substitute ${\theta }_0$ directly:Under the same regularity and large-count conditions, compare with ${\chi }_{k-1}^2$, since no null parameter has been estimated. Reject in its upper tail at the desired significance level. Fixing the parameter increases the reference degrees of freedom by one relative to part (b).