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Just a note

SE()  = 
Σ Wi2 piqi

  • is the overall (weighted) proportion,
  • Wi is the weight of each stratum (obtained by dividing the number of sampling units in each stratum by the total number of units)
  • pi is the proportion with the characteristic of interest in the ith stratum,
  • SE() is the standard error of the overall proportion,
  • qi is equal to 1-pi.