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1. Let   Y  be  b( l92, p).  We  reject  H0  : p = 0.75  and  accept  H1  :p > 0.75 if and only  if  Y > 152. Use  the  normal  approximation  to determine:

(a) (X  = Pr ( > 152; p  = 0.75).

(b) = Pr ( 152) when = 0.80.

2. Let  Y be b(lOO, p). To test H0  : p. 0.08 against H , :p 0.08, we reject H0  and accept  H1  if and  only  if  Y 6.

(a) Determine the significance level ex of the test.

(b) Find the probability of the type II error if in fact = 0.04.

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  • Category:- Statistics and Probability
  • Reference No.:- M91702099

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