Test of Independence · Exercise 33

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

A poll in California surveyed people about taxing sugar-sweetened beverages. The results are presented in, and are classified by ethnic group and response type. Are the poll responses independent of the participants’ ethnic group? Conduct a test of independence at the 5% significance level.

$$\begin{array}{cccccc}\text{Opinion/Ethnicity}& \text{Asian-American}& \text{White/Non-Hispanic}& \text{Black}& \text{Hispanic/Latino}& \text{Row total}\\ \text{Against tax}& \text{48}& \text{433}& \text{41}& \text{160}& \text{682}\\ \text{In favor of tax}& \text{54}& \text{234}& \text{24}& \text{147}& \text{459}\\ \text{No opinion}& \text{16}& \text{43}& \text{16}& \text{19}& \text{94}\\ \text{Column total}& \text{118}& \text{710}& \text{81}& \text{326}& \text{1235}\end{array}$$

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

OpenStax, Introductory Business Statistics 2e · §11.4 Test of Independence · Exercise 33