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A Random Sample of Size 1,000 Is Taken from a Population

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A random sample of size 1,000 is taken from a population where p = .20.Find P(p^<.22) \mathrm { P } ( \hat { p } < .22 )


Definitions:

Population Parameter

A numerical value that summarizes or describes a characteristic of an entire population.

Confidence Interval

Confidence interval is a range of values, derived from sample statistics, that is likely to contain the value of an unknown population parameter with a certain level of confidence.

Population Standard Deviation

Population standard deviation is a measure of the dispersion or variation in a set of values from a population, calculating how spread out the values are from the population mean.

Population Mean

The average value of all elements in a population, where the population represents the entire set of interest.

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