Final answer:
The politician's claim of having more than 50% voter support is false based on the survey results.
Step-by-step explanation:
In this scenario, the politician's claim of having more than 50% voter support is False. The survey shows that out of the 40 randomly selected voters, only 24 of them favor the politician. To determine the proportion of voter support, we need to divide the number of voters who favor the politician (24) by the total number of voters surveyed (40). Doing this calculation, we find that the proportion of voter support is 0.6 or 60%. Since this is less than 50%, the politician's claim is not supported by the survey.