A chewing gum manufacturer wishes to determine if her custom

A chewing gum manufacturer wishes to determine if her customers prefer one flavor gum to any other flavor. She selects a random sample of customers and records the flavor of gum that is purchased. Determine the test value for the data given. (Type and number of each sold: Spearmint 25; Wintergreen 32; Cherry 18; Cinnamon 43)

Solution

If they have no preferences, then there will be equal number of gums sold on each falor. Thus, the expected values are 29.5, 29.5, 29.5, 29.5.

Thus, using

chi^2 = Sum[(O - E)^2 / E]

Then

chi^2 = 11.55932203 [ANSWER]