The observations 0,2 are a sample of size two from Binomial(2,p). Test p=1/2 against p≠1/2. Find the observed likelihood-ratio statistic,to two decimals.
The sample total is 2 out of 4 Bernoulli trials,so the unrestricted MLE is p̂=1/2,identical to the null. The null likelihood divided by maximized likelihood is therefore **1.00**.
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