A Researcher Wants to Determine If the Distribution of Races

question 56

Essay

A researcher wants to determine if the distribution of races hired at government agencies is reflective of the overall U.S.population demographics.The researcher uses census data on demographics to obtain proportions for different races.The following table shows these proportions and the number of each race hired for a particular government agency. a.Set up the competing hypotheses to test if at least one proportion is different from the population demographics.
b.Calculate the value of the test statistic and determine the degrees of freedom.
c.Compute the p-value.Does the evidence suggest at least one proportion is different from the population demographics at the 1% significance level?

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Definitions:

Dependent Variable

A variable in an experiment that is expected to change as a result of manipulations of the independent variable.

Extraneous Variable

Any variable in a scientific experiment that is not the independent or dependent variable but may affect the results of the experiment if not properly controlled.

Random Assignment

A method used in experiments where participants are allocated to different groups purely by chance, minimizing pre-existing differences between those groups.

Experimental Groups

In research, groups of participants that are exposed to the independent variable or treatment of interest, to assess its effect on various outcomes.