MGEB12H3 Lecture 1: assignment 2 solution (2015 winter)

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Mgeb12 quantitative methods in economics ii - assignment #2 solution. Problem 1 (a) p = fraction error, h0:p . 1. 96, therefore reject h o, abc copier has more defect than standard. (b) Sample size n = 120, let # of defects = d, p0 = 0. 02, z = z0. 025 = 1. 96. 02 , ha: p > . 02 , reject h0 if zo. = p[type ii error] = p[fail to reject ho] 2p = 6/100 = 0. 06 dept = population #1, n1 = 120, co-op = population #2, n2 = 100, 100(1- ) = 99 get = 0. 01. P[z z /2 ] = /2 so p[z z0. 005 ] = 0. 005, p[z z0. 005 ] = 0. 995 so z0. 005 = 2. 575. 08977 p1 - p2 . 06977. Reject ho if z0 - z /2 or z0 z /2. = 0. 01 so get z /2 = z0. 005 = 2. 575 and -z /2 = -z0. 005 = -2. 575.

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