Plot the test statistic and the P-values. Here is a 2 3 2 two-way table of counts. The two categorical variables are U and V, and the possible values for each of these variables are 0 and 1.

U V 0 1 0 5 5 1 7 3

(a) Find the percent of zeros for V when U 5 0. Do the same for the case where U 5 1. Find the value of the test statistic and its P-value.

(b) Now multiply all of the counts in the table by 2.

Verify that the percent of zeros for V when U 5 0 and the percent of zeros for the V when U 5 1 do not change. Find the value of the test statistic and its P-value for this table.

(c) Answer part

(b) for tables where all counts are multiplied by 4, 6, and 8. Summarize all your results graphically, and write a short paragraph describing what you have learned from this exercise.