# Likelihood Interval Calculation

Having trouble with this question from my textbook. I was wondering if anyone could help me out.

The following set of $10$ data points are independent realizations from a Binomial model $X$ ~ $\mathrm{Bin}(36,\pi)$ $$10,12, 7, 6, 6,11, 7,12, 9,10.$$

Using relative likelihood function, estimate a 10% likelihood interval for $\pi$.

I know that the relative likelihood function is defined as :$\mathcal{L}(\theta | x)/\mathcal{L}(\hat \theta | x).$

I'm stumped on where to go next.

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Calculate the estimate, and find, where the relative likelihood function is $\ge 0.1$. But it isn't the confidence interval, it is a likelihood interval. –  Harold Jun 27 '13 at 3:55
I've estimated $\Theta$ = 0.25 but I do not know what to do with it. –  Leo Romero Jun 27 '13 at 5:09