Complex Samples Dependent T-Test - Comparing a Sub-Group Proportion to Total

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Where is the proportion in the total sample and is the proportion in the sub-group, and are their respective effective sample sizes, and is the proportion of the total population in sub-group :

,

where:

,
,
,
,
, or, if Weights and significance is set to Un-weighted sample size in tests (see Weights, Effective Sample Size and Design Effects),
is 1 if Bessel's correction is selected for Proportions in Statistical Assumptions and 0 otherwise,
is Extra Deff, and
is the proportion of the Population represents by the sub-group.