Which of the following sets of values could occur with a real dataset:
A) r = 0.7; 95% CIs = 0.4, 1.1; p = 0.001
B) r = 0.0; 95% CIs = -0.2, 0.2; p = 0.03
C) r = 0.1, 95% CIs = -0.1, 0.3; p = 0.20
D) r = 0.1, 95% CIs = 0.0, 0.2; p = 0.01

Question

Quizplus · Accepted Answer

The confidence interval (CI) for a correlation coefficient (r) must fall between -1 and 1, as these are the limits for correlation coefficients in real datasets. Options A, B, and D are incorrect because: A) the upper limit of the CI exceeds 1, which is not possible; B) a p-value of 0.03 with a correlation coefficient of 0.0 and such narrow CIs is unlikely; D) a p-value of 0.01 with a correlation coefficient of 0.1 and those CIs seems inconsistent. Option C is plausible because the CI is within the valid range and the p-value aligns reasonably with the correlation coefficient and CI range.

Which of the Following Sets of Values Could Occur with a Real