Answer
$F_0=3.10$ with a P-value $\ltα$. Reject the null hypothesis.
There is not enough evidence to conclude that the mean income levels considered to be rich for the three political philosophies are not the same.
Work Step by Step
$H_0:µ_{Conservative}=µ_{Moderate}=µ_{Liberal}$ versus
$H_1:$ at least one population mean is different from the others
In MINITAB, enter the Political philosophy values in C1 and in C2 enter the Rich values.
Select Stat -> ANOVA -> General Linear Model -> Fit General Linear Model
In Responses enter Rich (C2). In Factors enter 'Political philosophy' (C1).
Click Ok.
$F_0=3.10$ with a P-value $=0.047\ltα=0.05$