APFIVE Regression Slope Hypothesis Test Interpretation
A regression analysis of the relationship between temperature (x) and ice cream sales (y) produced the following output for the slope of the regression line: β̂ = 12.5, SE(β̂) = 2.1, t = 5.95, and p-value < 0.001. For a test of the hypotheses H₀: β = 0 versus Hₐ: β ≠ 0, which of the following is the correct conclusion?
A
Reject H₀; the slope differs from 12.5 units
B
Reject H₀; the slope equals 12.5 units
C
Fail to reject H₀; p-value exceeds significance level
D
Reject H₀; there is a significant linear relationship
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