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Statistics 4.0/10

A Sixty-Forty Coin in a Hundred Flips

A coin shows 60 heads in 100 tosses. For testing $H_0:p=1/2$, compute the likelihood ratio statistic $G=-2\ln\Lambda$, where $\Lambda$ is the ratio of the likelihood at $p=1/2$ to the maximised likelihood. Use natural logarithms and give $G$ rounded to three decimal places.

Related problems & prerequisites

Source: Likelihood ratio (G) test for a binomial proportion, standard textbook material. Numbers written for AxiomIQ. Statement written for AxiomIQ.