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When Determining the Sample Size for a Desired Margin of Error

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When determining the sample size for a desired margin of error, the formula is n=[zα/2]2p^q^E2\mathrm { n } = \frac { [ \mathrm { z } \alpha / 2 ] ^ { 2 } \hat { \mathrm { p }}\hat { \mathrm { q } } } { \mathrm { E } ^ { 2 } } . Based on this formula, discuss the fact that sample size is not dependent on the population size; that is, it is not necessary to sample a particular percent of the population.


Definitions:

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A mathematical formula that describes the relationship between the quantity demanded of a good and its various determinants such as price, income, and substitute prices.

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