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:

Silica-rich Organisms

Refers to organisms that utilize silica (SiO2) in their structural makeup, often found in the cell walls or skeletons, such as diatoms and some sponges.

Chert Formation

The process by which chert, a hard, fine-grained sedimentary rock composed of microscopic silica particles, is formed, often in deep marine environments.

Seawater

A solution of various salts and minerals found in the world's oceans.

Sandstone Beds

Layers of sedimentary rock predominantly composed of sand-sized particles, often used as aquifers and in construction materials.