Kellogg's Fruit Loops cereal comes in 6 fruit flavors: orange, raspberry, cherry, lemon, blueberry, and lime. Melody poured out her morning bowl of cereal as well as methodically counted the number of cereal pieces of each flavor. Here is her data:
Flavor: Orange Lemon Cherry Raspberry Blueberry Lime
Count: 28 21 16 25 14 16
Test the null hypothesis that population of fruit loops produced by kellogg's contains equal proportion of each flavor. If you find out a significant result, carry out a follow-up analysis. Show your work.