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R An A/B test results in 18 successes in 223 trials for version A and 26 successes in 287 trials for version B. What is

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An A/B test results in 18 successes in 223 trials for version A and 26 successes in 287 trials for version B. What is the probability that the true proportion of version A is larger than the true proportion for version B. i.e. $P(p_a>p_b$)? Hint: Use the Beta-Binomial Model.

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