Consider the Accompanying Contingency Table $$\begin{array} { c | c c c } & { \text { Column } } \\\text { Row } & 1 & 2 & 3 \\\hline 1 & 13 & 15 & 16 \\2 & 19 & 26 & 11\end{array}$$

question 16

Essay

Consider the accompanying contingency table. $$\begin{array} { c | c c c } & { \text { Column } } \\\text { Row } & 1 & 2 & 3 \\\hline 1 & 13 & 15 & 16 \\2 & 19 & 26 & 11\end{array}$$ a. Convert the values in row 1 to percentages by calculating the percentage of each column total falling in row 1.
b. Create a bar graph with row 1 percentage on the vertical axis and column number on the horizontal axis.
c. What pattern do you expect to see if the rows and columns are not independent? Is this pattern present in your graph?

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Definitions:

Marginal Product

The additional output that is produced by employing one more unit of a factor of production, keeping all other inputs constant.

Fourth Worker

In the context of diminishing returns, it could refer to a point where adding an additional worker leads to a lesser increase in output.

Marginal Productivity

The extra output that a business gains by adding one more unit of input, such as labor or capital.

Income Distribution

The way in which a country’s total GDP is spread amongst its population, affecting economic equity and quality of life.