Back to Making Inferences and Justifying Conclusions — Problem 2 · Task Set 36

HSS.IC Tutor Intake - Sampling, Study Design, and Statistical Inference

This short check helps your tutor understand where to start with statistical inference. Answer each question without help. If you are not sure, give your best try.

Grade 11·12 problems·~15 min·Common Core Math - HS Statistics and Probability·domain·ic

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Foundations of Inference

Three honest random samples from the same population give
$\hat{p} = 0.62$ , $\hat{p} = 0.68$ , and $\hat{p} = 0.65$ . What does
this show about the population proportion $p$ ?

The population proportion changed between the three samples.

One of the three samples must have been taken incorrectly.

$p$ is a single fixed number; each $\hat{p}$ is an estimate that
varies from sample to sample.

The population proportion is exactly $0.65$ , the middle value.