Proportion of females in the relevant labor market: P(pop) = 51% (.51)Proportion of females among hired: P(obs) = 6/37 = .16N=24 My math is below:z = .16-.51/SR.51*((1-.51)/24).16-.51 = -.351-.51 = .49.49/24 = .020.51*.020 = .0102SR .0102 = .101-.35/.101 = -3.47Z = -1.42 Z||P(Obs) P (Pop)(P(Pop) + [(1 - P(Pop))]*N

Answered: Proportion of females in the relevant…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Proportion of females in the relevant labor market: P(pop) = 51% (.51)

Proportion of females among hired: P(obs) = 6/37 = .16

N=24 My math is below:

z = .16-.51/SR.51*((1-.51)/24)

.16-.51 = -.35

1-.51 = .49

.49/24 = .020

.51*.020 = .0102

SR .0102 = .101

-.35/.101 = -3.47

Z = -1.42

Z
||
P(Obs) P (Pop)
(P(Pop) + [(1 - P(Pop))]
*
N

Expert Solution

Step 1: Given information

$P left parenthesis p o p right parenthesis equals space 0.51 P left parenthesis o b s right parenthesis equals space 0.16 N equals 24$

Want to find Z score given by,

$Z equals fraction numerator P left parenthesis o b s right parenthesis minus P left parenthesis p o p right parenthesis over denominator square root of fraction numerator P left parenthesis p o p right parenthesis asterisk times left parenthesis 1 minus P left parenthesis p o p right parenthesis over denominator N end fraction end root end fraction$