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Nastasia [14]
3 years ago
9

What is the probability of selection for any man in a proportionate random sample, where a sample of 100 will be drawn from a po

pulation of 1,000 that is 50% male and 50% female?
Mathematics
1 answer:
kolbaska11 [484]3 years ago
7 0
Working Principle: Stratified Random Sampling

nx = (Nx/N)*n

where:
    nx = sample size for stratum x
    Nx = population size for stratum x
    N = total population size 
    n = total sample size

Given:

  Nx = 100
  N = 1000
  n = 0.5*(1000) = 500

Required: Probability of Man to be selected

Solution:

nx = (Nx/N)*n
nx = (100/1000)*500 = 50 men

ny = (Nx/N)*n
ny = (100/1000)*500 = 50 women


Probability of Man to be selected = nx/(nx + ny)*100 = 50/(50+50)*100 = 50%

<em>ANSWER: 50%</em>
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