Which of the following statements is correct? Population parameters are used to make inferences about sample statistics. Population statistics are used to make inferences about sample parameters. Sample parameters are used to make inferences about population statistics. Sample statistics are used to make inferences about population parameters.

To determine which statement is correct, let's clarify the terms involved: 1. **Population Parameters**: These are values that summarize a characteristic of the entire population (e.g., population mean, population variance). 2. **Sample Statistics**: These are values that summarize a characteristic of a sample drawn from the population (e.g., sample mean, sample variance). 3. **Inferences**: This refers to the process of using sample statistics to make conclusions about population parameters. Now, let's analyze each statement: 1. **Population parameters are used to make inferences about sample statistics.** - This is incorrect. Population parameters are fixed values and do not change based on sample statistics. 2. **Population statistics are used to make inferences about sample parameters.** - This is incorrect. The term "population statistics" is not standard; we typically refer to population parameters. 3. **Sample parameters are used to make inferences about population statistics.** - This is incorrect. Sample parameters (which are not standard terminology) do not exist in the context of making inferences about population statistics. 4. **Sample statistics are used to make inferences about population parameters.** - This is correct. Sample statistics (like the sample mean) are used to estimate and make inferences about population parameters (like the population mean). Thus, the correct statement is: **Sample statistics are used to make inferences about population parameters.**