When Determining the Sample Size for a Desired Margin of Error

question 106

Essay

When determining the sample size for a desired margin of error, the formula is $\mathrm { n } = \frac { [ \mathrm { z } \alpha / 2 ] ^ { 2 } \hat { \mathrm { p }}\hat { \mathrm { q } } } { \mathrm { E } ^ { 2 } }$ . 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.

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Definitions:

Chemical Barrier

A chemical barrier refers to a mechanism of defense provided by the secretion of chemicals that deter pathogens or predators.

Pathogens

microorganisms that cause diseases in their hosts.

Foreign Substance

Any material or substance that is not naturally part of an object or body and may be harmful or benign.

Disease-causing Agent

An organism or substance that is capable of producing disease, such as bacteria, viruses, or toxins.