2
AssignmentMultiple Choice

Scope of Inference

Question 2 • VA-Probability and Statistics

When the students select their random samples and plot the results on a dotplot, which of the following should they expect to see?The dots, which represent the sample proportions obtained by the students,

Answer
A
will all be at the same number.
B
will be wildly unpredictable.
C
will be clustered around 0 and 1.
D
will be centered around p, the true population proportion.

Explanation

Different random samples will usually produce different sample proportions, but the proportions tend to vary around the true population proportion, p. Therefore, the dotplot should be centered around p, though the dots will not all be identical.

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