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Unformatted text preview: B usiness Statistics L ecture Sections (Prof. Inchi HU) Assignment 7 Solution (Problem Sheet 5 #4, 7, 9, and an extra question) 4. (a) H 0 : p = 0.5 vs H 1 : p > 0.5 55 . 100 55 ˆ = = p Test statistic 1 100 ) 5 . )( 5 . ( 5 . 55 . ˆ = = = n pq p p z obs And z α = z 0.05 = 1.645. Since z < z 0.05 , we cannot reject H o at 0.05 level of significance. No evidence shows % of UST graduates who receive more than one job offer greater than 50%. (b) Let m 1 be the population average monthly salary among those with one job offer. Let m 2 be the population average monthly salary among those with three jobs offer. H 0 : m 1 m 2 = 0 vs H 1 : m 1 m 2 ≠ 0 Test statistic ( 29 1011 . 2 30 1500 40 1200 11000 10300 ) ( ) ( 2 2 2 2 2 1 2 1 2 1 2 1 = + = + = n s n s x x z obs m m pvalue = ( 29 ( 29 ( 29 0358 . 0179 . 2 4821 . 5 . 2 1011 . 2 2 = = = Z P . Since pvalue < a = 0.05, reject H at 0.05 level of significance....
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This note was uploaded on 09/18/2010 for the course BBA ISOM111 taught by Professor Hu during the Fall '08 term at HKUST.
 Fall '08
 HU

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