From a LinRegTTest you obtain sample slope b = 0.40, standard error SE_b = 0.12, and n = 20. Using a two-sided test at alpha = 0.05, compute the t statistic, approximate p-value, and state the decision.

• A. t ≈ 2.50, p ≈ 0.02; reject H0 and conclude there is significant linear relationship.
• B. t ≈ 3.33, p ≈ 0.1; fail to reject H0 so conclude insufficient evidence for a slope different from zero.
• C. t ≈ 0.48, p ≈ 0.63; fail to reject H0 because sample slope is not large enough relative to SE.
• D. t ≈ 3.33, p ≈ 0.0038; reject H0 and conclude there is significant linear relationship.

Answer: (D)