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Question: two hundreds years ago it was established that the proportion...

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Two hundreds years ago it was established that the proportion of female births in European populations was less than 0.5, and the currently accepted values of the proportion of female births in large European populations is 0.485. The parameter of interest is the proportion of female births. Let's suppose to use a uniform prior for it and we get a sample of n=100 births, with y=60. Given this dataset, what is the posterior probability that the proportion of female births is larger than 0.485? (Give a number with 3 decimal places).

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