A researcher wishes to test whether two nominal variables with two and three respective categories are statistically independent. She observes a chi square value from Pearson's chi square test of independence of 10.00430. Consider the following propositions: PROPOSITION ONE: At the 5% significance level the appropriate decision could be a Type II Error; PROPOSITION TWO: At the 1% significance level the appropriate decision could be a Type II Error.
A. Proposition I is true and Proposition II is true
B. Proposition I is true and Proposition II is false
C. Proposition I is false and Proposition II is true
D. Proposition I is false and Proposition II is false
E. None of the above