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MODULE 7.3: HYPOTHESIS TESTS AND CONFIDENCE INTERVALS
EXAMPLE: Hypothesis test for significance of regression coefficients: The estimated slope coefficient from the ABC example is 0.64
with a standard error equal to 0.26. Assuming that the sample has 36 observations, determine if the estimated slope coefficient is
significantly different than zero at a 5% level of significance.
The critical two-tailed t-values are
± 2.03 (from the t-table with
df = 36 – 2 = 34).
• Because t > t critical (i.e., 2.46 > 2.03), we reject the null hypothesis and conclude that the slope is different from zero.
• Note that the t-test and the confidence interval lead to the same conclusion to reject Ho and conclude that the slope coefficient is
statistically significant.