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When Testing a Hypothesis Involving Population Proportions, an Increase in Sample

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When testing a hypothesis involving population proportions, an increase in sample size will result in a smaller chance of making a Type I statistical error.


Definitions:

Linear Relationship

A type of correlation where changes in one variable are directly proportional to changes in another variable, often displayed as a straight line in a graph.

Simple Linear Regression

Regression analysis involving one independent variable and one dependent variable in which the relationship between the variables is approximated by a straight line.

Coefficient Of Determination

A measure, usually represented as R^2, that shows the proportion of the variance in the dependent variable that is predictable from the independent variable(s).

Variance

A measurement of the spread between numbers in a data set, signaling how far each number in the set is from the mean.

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