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The following table shows the output of a regression model to explain SAT math s

ID: 3339694 • Letter: T

Question

The following table shows the output of a regression model to explain SAT math scores. Coefficient Standard Error T Stat p-value 650.11 -20.96 47.85 Intercept 117.425.54 5.530.59 22.55 2.12 0.000 0.56 0.049 Gender Can we conclude that there is a statistically significant gender difference in math scores at the 5% level ? A. No, since the p-value for x is no less than the significance level. B. Yes, since the T Stat for Gender is less than the significance level. 0 Yes, since the p-value for Gender is less than the significance level. D. No, since the p-value for Gender is no less than the significance level.

Explanation / Answer

Correct Answer: Option (C)

since P-value = 0.049 < alpha 0.05 (significant value), so we reject H0

Thus we conclude that there is statistically signifianct gender difference in math scores at 5% level.

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