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What is the difference between proportion and population?
Each of these formulas is designed to answer a specific question: the mean proportion addresses the question about the average per person and the population proportion addresses the question of population intakes. But because either may be used to answer the same general question, confusion may result.
What is the difference between finite and infinite population?
A population is called finite if it is possible to count its individuals. Thus N is the size of the population. Infinite Population. Sometimes it is not possible to count the units contained in the population.
How to calculate a proportion for a small, finite population?
That is, our small finite population looks like this: If that’s the case, the true proportion (but unknown to us) of yes respondents is: while the true proportion (but unknown to us) of no respondents is: Now, let X denote the number of respondents in the sample who say yes, so that:
How is the finite population correction factor used?
The following examples illustrate how to use the finite population correction in different scenarios. Researchers want to estimate the proportion of residents in a county of 1,300 people that are in favor of a certain law.
How to calculate Sample Size for comparing two proportions?
However, the effect of the FPC will be noticeable if one or both of the population sizes (N’s) is small relative to n in the formula above. To apply a finite population correction to the sample size calculation for comparing two proportions above, we can simply include f 1 = (N 1 -n)/ (N 1 -1) and f 2 = (N 2 -n)/ (N 2 -1) in the formula as follows.
Can a standard error be computed from an infinite population?
Most formulas used to compute standard errors are based on the idea that (1) samples are selected with replacement or that (2) samples are selected from an infinite population. In actual research, neither of these ideas hold true.