Let x have one of the following distributions if the prior, Ask an Expert

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let X have one of the following distributions:

X: x1 , x2 , x3 , x4
H0: 0.2 , 0.3 , 0.3 , 0.2
H1: 01 , 0.4 , 0.1, 0.4

if the prior probabilities are P(H0)= P(HA) which outcomes favor H0?
what prior probabilities correspond to the decision rules with a= 0.2 and a =0.5

The neyman pearson paradigm
The probabilities of type 1 error is called the significance level of the test.

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