Applied Example 11.7 (p. 642) reports percentages describing people’s preferences with regard to how potatoes are prepared. Do you believe there is a significant difference between the four regions of America with regard to the percentage who prefer baked? Notice that the article does not mention the sample size.

a. Assume the percentages reported were based on four samples of size 100 from each region and calculate 2 and its p-value.

b. Repeat part a using sample sizes of 200 and 300.

c. Are the four percentages, reported in the graphic, who prefer baked potatoes significantly different? Describe in detail the circumstances for which they are significantly different.