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A Simple Random Sample of 100 Observations Is Taken from a Population

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A simple random sample of 100 observations is taken from a population. Assume that the population proportion p = 0.5.
a. What is the expected value of the sample proportion p^\hat { p } ?
b. What is the standard error of the sample proportion p^\hat { p } ?


Definitions:

Pigment

A substance that selectively absorbs light of specific wavelengths.

Stomatal Opening

The process by which stomata, the microscopic pores found on the surface of leaves, open to allow for gas exchange, including releasing oxygen and taking in carbon dioxide.

Blue

A color associated with a wavelength between 450 and 495 nanometers, often used in biological contexts to refer to coloration in cells or tissues.

Potassium Concentrations

The measure of the amount of potassium ions present in a given volume of a biological or environmental sample.

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