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Inferential Statisticshard
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In a Bayesian test with prior probabilities P(H0)=0.5P(H_0) = 0.5P(H0​)=0.5 and P(H1)=0.5P(H_1) = 0.5P(H1​)=0.5, if the Bayes Factor BF10=P(D∣H1)P(D∣H0)=20BF_{10} = \frac{P(D|H_1)}{P(D|H_0)} = 20BF10​=P(D∣H0​)P(D∣H1​)​=20, what is the posterior probability P(H1∣D)P(H_1|D)P(H1​∣D)?