According to a recent Gallup poll, people who are college graduates are more likely to report they are satisfied with the way things are going with their personal life than people that are not college graduates. Of the 354 college graduates surveyed, 311 reported being satisfied with their personal lives. For the 384 people that were not college graduates that were surveyed, 301 that reported being satisfied.

Is there convincing statistical evidence of a difference in the proportion that are satisfied with their personal lives for all college graduates and all that are not college graduates?