Which of the following is the correct notation for a directional alternative hypothesis for a Pearson correlation?
A) H₁: p ≥ 0
B) H₁: p ≠ 0
C) H₁: p = 0
D) H₁: p

Question

Which of the following is the correct notation for a directional alternative hypothesis for a Pearson correlation?
A) H₁: p ≥ 0
B) H₁: p ≠ 0
C) H₁: p = 0
D) H₁: p < 0

Quizplus · Accepted Answer

A directional alternative hypothesis for Pearson correlation indicates a specific direction of the relationship between two variables. As such, the best choice is D, "H₁: p < 0", which indicates that the correlation coefficient is negative, implying that the two variables are negatively related. Choices A, B, and C are non-directional or two-tailed hypotheses, indicating that the correlation could be positive or negative.

Which of the Following Is the Correct Notation for a Directional