Final answer:
The most relevant piece of evidence to support a claim would be a scientific study with a large sample size, as it provides objective and empirical data directly related to the claim.
Step-by-step explanation:
In evaluating the relevance of evidence to a claim, the best choice would be c. Scientific study with a large sample size. This type of evidence is empirical and provides objective data that can be analyzed to support or refute a claim. A scientific study employs systematic methodologies to gather data and often answers a specific question or tests a hypothesis, making it germane to establishing the validity of a claim.
Anecdotal stories (option b) can sometimes be persuasive but are not as reliable as scientific evidence since they are often based on personal experiences and may not represent the larger population. Personal opinions (option a) are subjective and couldn't form a robust basis for most arguments. Unrelated statistical data (option d) would not be applicable to the claim being considered and would not serve as strong or relevant evidence.
When analyzing claims within an academic context, as articulated in AP course objectives such as '5.3 The student can evaluate the evidence provided by data sets in relation to a particular scientific question,' it is crucial to select evidence that is both credible and directly related to the question being investigated.