Question 9.37

9.37 Plot the test statistic and the P-values.

Here is a two-way table of counts. The two categorical variables are and , and the possible values for each of these variables are 0 and 1.

counts

0 1
0 5 5
1 7 3
  1. Find the percent of zeros for when . Do the same for the case where . Find the value of the test statistic and its P-value.
  2. Now multiply all of the counts in the table by 2. Verify that the percent of zeros for when and the percent of zeros for the when do not change. Find the value of the test statistic and its P-value for this table.
  3. 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.

9.37

(a) .
(b) .
(c) For 4: .
For 6: .
For 8: .
In relation to sample size, collecting twice as much data that demonstrates the same association doubles the value and makes the data more significant. Similarly, collecting four times as much data that portray the same association quadruples the value and makes the data even more significant, etc.