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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
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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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