Final answer:
Option C, with 2001 people polled, will provide the most accurate results for the politician because a larger sample size tends to reduce sampling error and gives a more representative view of the entire population's preferences.
Step-by-step explanation:
To determine which option will give a politician the most accurate results in a poll about being favored by most of the registered voters in their district, we must consider the sample size. A larger sample size generally provides more accurate results because it is more likely to represent the views of the entire population. Among the choices given, option C, with 2001 people polled, will provide the most accurate results. A larger sample size reduces sampling error, giving a clearer picture of the overall voter preference. Significant factors in polling include ensuring that the sample is random and representative of the entire population, and taking into account potential biases, such as the Bradley effect or the reluctance to reveal true preferences.