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Consider a Claim That 60% of the Mice in a Region

question 17

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Consider a claim that 60% of the mice in a region have parasitic infections. We can use an χ2 goodness-of-fit test to test whether the proportion is indeed 60%. Consider a study in which we collect a random sample of 50 mice and 36 have infections. What is the χ2 value we would obtain?

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Definitions:

Test Statistic F

The ratio of two variances that follows an F-distribution, used in statistical methods like ANOVA to determine the significance of group differences.

Degrees of Freedom

The number of independent values or quantities that can be assigned to a statistical distribution without violating any constraints.

Dependent Variable

A variable in an experiment or model that is expected to change as a result of manipulations or changes in the independent variable(s).

Independent Variables

Variables that are manipulated or categorized to determine their effect on other variables.

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