Question 1
Consider the accompanying contingency table.
![](data:image/png;base64, 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)
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?
Question 2
True or False.
When using any procedure to perform a hypothesis test, the user should always be certain that the experiment satisfies the assumptions given with the procedure.
◦ True
◦ False