Justifying a Claim About the Difference of Two Proportions

AP Statistics· difficulty 3/5

A 95% CI for p_A - p_B is (0.05, 0.20).

What can we conclude?

A
$p_A and p_B differ by exactly 0.125.$
B
$No difference between groups.$
C
$Convincing evidence p_A < p_B.$
D
$Convincing evidence p_A > p_B (since 0 is not in the CI).$
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Explanation

Both endpoints positive and 0 excluded, so we have evidence p_A > p_B.

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