Confidence interval for a proportion with a finite population correction

Computes an adjusted Wald interval for a population proportion with a finite population correction (fpc). This confidence interval is useful when the sample size is not a small fraction of the population size.

For more details, see Section 1.20 of Bonett (2021, Volume 3)

Usage

ci.prop.fpc(alpha, f, n, N)

Arguments

alpha

alpha level for 1-alpha confidence

f

number of participants who have the attribute

n

sample size

N

population size

Value

Returns a 1-row matrix. The columns are:

• Estimate - adjusted estimate of proportion

• SE - adjusted standard error with fpc

• LL - lower limit of the confidence interval with fpc

• UL - upper limit of the confidence interval with fpc

References

Bonett DG (2021). Statistical Methods for Psychologists https://dgbonett.sites.ucsc.edu/.

Examples

ci.prop.fpc(.05, 61, 75, 415)
#>   Estimate         SE       LL        UL
#>  0.7974684 0.04097594 0.717157 0.8777797

# Should return:
#   Estimate         SE       LL        UL
#  0.7974684 0.04097594 0.717157 0.8777797