Justifying a Claim About the Difference of Two Proportions

AP Statistics· difficulty 3/5

A 95% CI for p_A - p_B is (-0.02, 0.10).

What does the interval suggest about the difference in proportions?

A
$There is convincing evidence p_A < p_B.$
B
$The proportions must be equal.$
C
$Since 0 is in the interval, no convincing evidence of a difference.$
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D
$There is convincing evidence p_A > p_B.$

Explanation

A two-sample CI for the difference that contains 0 means we cannot conclude the proportions differ.

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