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The Sampling Distribution For p^\hat { p } Is Approximately Normal for a Large Sample Size

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The sampling distribution for p^\hat { p } is approximately normal for a large sample size nn , where nn is considered large if both np^15n \hat { p } \geq 15 and n(1p^)15n ( 1 - \hat { p } ) \geq 15 .

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Definitions:

Regression Line

A line of best fit through a scatter plot of data points in statistical analysis, showing the relationship between two variables.

Correlation Coefficient

A statistical measure that calculates the strength and direction of a linear relationship between two quantitative variables.

Standard Error

A measure of the variation or dispersion of the sample means around the population mean in a sampling distribution.

Statistical Hypothesis Tests

Procedures used to determine whether there is enough evidence in a sample of data to infer that a certain condition is true for the entire population.

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