Compute a z score using the formula.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Identify sample (observed) proportion. This is P(Obs) in the z-formula.

Identify population proportion. This is P(Pop) in the z formula.

Compute a z score using the formula.

  • Proportion of females among applicants: P(pop) = 43/109 = .39
  • Proportion of females among hired: P(obs) = 6/24 = .25
  • N = 24

My attempt but I think I am doing an order wrong.

    • z =  .25-.39/SR.39*((1-.39)/24)
  • .25-.39 = -.14
  • 1-.39 = .61
  • .61/24  = .025
  • .39*.025 = .00975
  • SR .00975 = .0987
  • -.14/.0987 = -1.42
  • Z = -1.42

 

 

    • z =  .25-.39/SR.39*((1-.39)/24)
  • .25-.39 = -.14
  • 1-.39 = .61
  • .61/24  = .025
  • .39*.025 = .00975
  • SR .00975 = .0987
  • -.14/.0987 = -1.42
  • Z = -1.42

 

Z
||
P(Obs) P (Pop)
(P(Pop) + [(1 - P(Pop))]
*
N
Transcribed Image Text:Z || P(Obs) P (Pop) (P(Pop) + [(1 - P(Pop))] * N
Expert Solution
Step 1: Determine the given data in the question

Let p1 and p2 be the two population proportions for females among applicants and hired respectively.

Given that,

x subscript 1 equals 43
n subscript 1 equals 109
x subscript 2 equals 6
n subscript 2 equals 24


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