APFIVE Hypothesis Test for a Regression Slope
A researcher has collected data on exercise duration (x) and weight loss (y). Previous studies suggest that each additional minute of exercise results in 0.03 pounds of weight loss. The researcher wants to determine if the actual relationship differs from this value. The t-statistic for testing the slope is -2.45 with 28 degrees of freedom. What conclusion should be drawn using α = 0.05?
A
Reject H₀: β = 0 in favor of Hₐ: β ≠ 0
B
Fail to reject H₀: β = 0.03
C
Reject H₀: β = 0.03 in favor of Hₐ: β < 0.03
D
Reject H₀: β = 0.03 in favor of Hₐ: β ≠ 0.03
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