Answer
$X_0^2=96.733$ with a P-value $\ltα$. Reject the null hypothesis.
There is enough evidence to conclude that the proportion of individuals within each political affiliation who reacts positively to the word socialism is not the same.
Work Step by Step
$H_0:$ the proportion of individuals within each political affiliation who reacts positively to the word socialism is the same.
versus
$H_1:$ the proportion of individuals within each political affiliation who reacts positively to the word socialism is not the same.
In MINITAB, enter the given values:
1-C1 = 220, 1-C2 = 144, 1-C3 = 62
2-C1 = 279, 2-C2 = 410, 2-C3 = 351
Select Stat -> Tables -> Chi-Square Test for Association
Select "Summarized data in a two-way table"
In columns containing the table enter: C1 C2 C3
Click OK.
$X_0^2=96.733$ with a P-value $\lt0.001\ltα=0.05$
