A researcher hypothesizes college grade point average is correlated with graduate school grade point average. In conducting an analysis to test this hypothesis, how should the null hypothesis (H₀) be stated?

A) H₀: all μs are equal
B) H₀: ρ = 0
C) H₀: college = grad school
D) H₀: not all μs are equal

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Merican Cracker · Accepted Answer

Final Answer : B, Explanation :  The null hypothesis for testing the correlation between two variables is always that there is no correlation, which can be expressed as ρ = 0. Option A refers to testing the equality of means, which is not relevant in this case. Option C incorrectly suggests that the two variables are equal, and Option D is too general and does not specify the relationship being tested.

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