Question: Let X 1 ,...,X 50 Bernoulli(p) be IID random variables with p unknown. Consider testing : H 0 : p=1/2 vs. H 1 :p 1/2

Let X1,...,X50 Bernoulli(p) be IID random variables with p unknown.

Consider testing :

H0 : p=1/2 vs. H1:p 1/2

using a Bayesian approach. Use as priors

p Uniform(0, 1), and P(H0) = 1/2.

ComputeP(H0i=1100Xi=27)

provide a numerical answer that is correct to 3 decimal places.

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