Chapter 12.1, Problem 1E

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.

1. If the resulting X² value were 6.4, what is the conclusion when using a test with significance level 0.05?
2. What conclusion would be appropriate at significance level 0.01 if X² = 15.3?
3. If there were six different covers rather than just four, what is the conclusion if X² = 13.7 and a test with α = 0.05 was used?