# 409Quiz3Fans - STAT 409 Fall 2011 Version F Name Quiz 3(10...

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STAT 409 Fall 2011 Version F Name ANSWERS . Quiz 3 (10 points) Be sure to show all your work; your partial credit might depend on it. No credit will be given without supporting work. 1. Last season, a baseball player’s performance was as follows: Day Games Night Games At bat, n i ( “attempts” ) 240 160 Base hits, Y i ( “successes” ) 72 56 a) (5) Test H 0 : p Night = 0.40 vs. H 1 : p Night < 0.40 at a 5% level of significance. Y = 56. n = 160. 160 56 Y ˆ = = n p = 0.35. Test Statistic: Z = ( ) 160 60 . 0 40 . 0 40 . 0 35 . 0 1 0 0 0 ˆ - = - - n p p p p = 1.29 . P-value: Left – tailed. P-value = P( Z 1.29 ) = 0.0985 . Decision: P-value > α = 0.05. Do NOT Reject H 0 at α = 0.05. OR Rejection Region: Reject H 0 if Z < – z α z 0.05 = – 1.645.

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409Quiz3Fans - STAT 409 Fall 2011 Version F Name Quiz 3(10...

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