A particular cell phone case is available in a choice of four different colors. A store sells all four colors. To test the hypothesis that sales are equally divided among the four colors, a random sample of 100 purchases is identified.
a. If the resulting X2 value were 6.4, what conclusion would you reach when using a test with significance level 0.05?
b. What conclusion would be appropriate at significance level 0.01 if X2 = 15.3?
c. If there were six different colors rather than just four, what would you conclude if X2 = 13.7 and a test with a = 0.05 was used?