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# need answers at the earliest ATTACHMENT PREVIEW Download attachment Screenshot 2019-09-30 at 4.00.28 AM.png 7. Quiz: Composite Hypotheses for Bernoulli models W Bookmark this page (a) 1 point possible (graded) Let X1. .... Xn bei.i.d. Bernoulli random variables with unknown parameter pe (0, 1) . Find a function In, ((Xn) , which depends on Xn, n, and p , such that In.p( Xn) N (0, 1). 71-+00 by using the Central Limit Theorem on X'n and . substituting any occurrence of p in the variance by a plug-in estimator for p . (a) Note: If Th,p- N(0, 1) , then so does -Th,p. For this problem and the next part, use the expression for Th,p( Xn) that is of the form (Xn - p) f (n, Xn) where f (n. Xn) is always positive. (Or very loosely speaking, use (Xn -p ) and not (p - Xn) where applicable. ) (Enter barX_n for xn). In, p(Xn) = STANDARD NOTATION Submit You have used 0 of 3 attempts Save (b) 3 points possible (graded) (This is a quiz, hence only 1 attempt.) Select a test with asymptotic level a , in terms of the function Th,p( Xn) , for each of the following pairs of hypotheses: (Choose one for each column. Note the absolute values in the first 2 rows.) Ho : p =0.5 vs H1 : p # 0.5 : Ho : p 5 0.5 vs H1 : p &gt; 0.5 : Ho : p 2 0.5 vs H1 : p &lt;0.5 1 (In.0. { XM) &gt;9012) 1 ( In,0. ( XM) &gt;9012) 1 ( In,0. ( XM) &gt;9012) 1 ( m.O.{ Xn) &gt;qa) 1 ( In.0.{ Xn) &gt;qa) 1 ( m.O.{ XM) &gt;qa) 1 (In,0.{ Xn) &gt;qa/2) 1 (In,0.5 Xn) &gt;qa/2) 1 (In,0.5 Xn) &gt;qa/2) 1 (In, 0. { Xn) &gt;qa) 1 (In,0. { Xn) &gt;qa) 1 ( In,0. { Xn) &gt;qa) 1 (In,0.{ Xn) &lt;-9012) 1 (In.0.{ Xn) &lt;-9012) 1 (In.0.5 Xn) &lt;-qa/2) 1 ( In,0. { Xn) &lt;-qa) 1 (In.0.{ Xn) &lt;-qa 1 ( In.0. { Xn) &lt;-qa) 1 (In.0. { Xn) &lt;qa12) 1 (In.0.{ Xn) &lt;qa/2) 1 (In.0. { Xn) &lt;qa/2) 1 (In.0.{ Xn) &lt;qu 1 (m.O.{ Xn) &lt;qu) 1 (In.0.{ Xn) &lt;qa)

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