A psychologist randomly selected 100 people from each of four income groups and asked them if they were "very happy." For people who made less than \(\$ 30,000,24 \%\) responded yes. For people who made \(\$ 30,000\) to \(\$ 74,999,33 \%\) responded yes. For people who made \(\$ 75,000\) to \(\$ 90,999,38 \%\) responded yes, and for people who made \(\$ 100,000\) or more, \(49 \%\) responded yes. At \(\alpha=0.05\), test the claim that there is no difference in the proportion of people in each economic group who were very happy.