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4. p is the probability of success in a series of Bernoulli trials. To test H0 : p = 2/3 against H1 : p =

4. p is the probability of success in a series of Bernoulli trials. To test H0 : p = 2/3 against H1 : p = 1/3 , two trials are made and H0 is rejected only if both the trials are failures. What is the value of (; ), the two types of error?

(A) 1 /9 ; 5 /9

(B) 1 /9 ; 4/ 9

(C) 2 /9 ; 5/ 9

(D) 2 /9 ; 4 /9

(E) None of the above.

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