Hypothesis Testing and Power of a Test?

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max_4_u'all

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A sample space contains 20 points, only one 1 is in the critical region. if the null hypothesis is true, all points are equally likely. If the alternative hypothesis is true, the point in the critical region has probability 0.905, and the other points each have probability 0.005. what is the power of the test? what is the probability of type 1 error.
 
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