A politician has staked his political career on whether a new state constitution will pass. To find out which way the wind is blowing, he obtains a random sample of 100 voters a few weeks prior to the election and finds that 60% of the sample says that they will vote for the new constitution. Assuming that the constitution will fail if it receives 50% or less of the vote, should he conclude that the electorate as a whole will support the new constitution? Perform the appropriate statistical test to answer this question.