Random Sampling and Data Collection

AP Statistics· difficulty 3/5

A researcher selects an SRS of 1,000 adults from a state and records hours of weekly exercise and self-reported happiness. She finds a positive association.

Which conclusion is justified?

  • A

    Exercise causes happiness in this state

  • B

    The association generalizes to the state population, but cause-and-effect cannot be established

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  • C

    Happiness causes exercise in this state

  • D

    Neither generalization nor causation is supported

Explanation

Random sampling supports generalization to the state. Without random assignment (it's observational), we cannot infer causation due to potential confounders.

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