When you use information about a sample to determine something about the population

When you use information about a sample to determine something about the population

• A. Descriptive statistics
• B. Testing hypotheses about a population
• C. Predicting future values exactly
• D. Using information from a sample to make inferences about a population

Answer: (D)

Using information from a sample to make inferences about a population involves statistical inference. It captures the idea of drawing conclusions about population parameters (like the average, proportion, or other characteristics) based on data from a subset of that population. This approach acknowledges sampling variability and aims to estimate or test something about the whole population, not just describe the sample we observed. Descriptive statistics, by contrast, summarize the sample itself without extending conclusions to the broader group. Predicting future values exactly is not generally feasible because random variation means exact replication of future observations cannot be guaranteed. So, the process of using sample data to infer population characteristics best describes the concept.

Using information from a sample to make inferences about a population involves statistical inference. It captures the idea of drawing conclusions about population parameters (like the average, proportion, or other characteristics) based on data from a subset of that population. This approach acknowledges sampling variability and aims to estimate or test something about the whole population, not just describe the sample we observed. Descriptive statistics, by contrast, summarize the sample itself without extending conclusions to the broader group. Predicting future values exactly is not generally feasible because random variation means exact replication of future observations cannot be guaranteed. So, the process of using sample data to infer population characteristics best describes the concept.