Test of Independence · Exercise 33

Read the statement and decide whether it is true or false.

An ice cream maker performs a nationwide survey about favorite flavors of ice cream in different geographic areas of the United States. Based on, do the numbers suggest that geographic location is independent of favorite ice cream flavors? Test at the 5 percent significance level.

$$\begin{array}{cccccccc}\text{U.S. Region/Flavor}& \text{Strawberry}& \text{Chocolate}& \text{Vanilla}& \text{Rocky Road}& \text{Mint Chocolate Chip}& \text{Pistachio}& \text{Row Total}\\ \text{West}& \text{12}& \text{21}& \text{22}& \text{19}& \text{15}& \text{8}& \text{97}\\ \text{Midwest}& \text{10}& \text{32}& \text{22}& \text{11}& \text{15}& \text{6}& \text{96}\\ \text{East}& \text{8}& \text{31}& \text{27}& \text{8}& \text{15}& \text{7}& \text{96}\\ \text{South}& \text{15}& \text{28}& \text{30}& \text{8}& \text{15}& \text{6}& \text{102}\\ \text{Column Total}& \text{45}& \text{112}& \text{101}& \text{46}& \text{60}& \text{27}& \text{391}\end{array}$$

Its source prints no answer for this problem, so there's nothing to check against.

OpenStax, Statistics · §11.3 Test of Independence · Exercise 33