test the hypothesis that the true population coefficient for EDUGEN is zero against one-sided alternative that it is positive at a 1% significance level.

State the null and alternative hypotheses of this test.

Calculate the test statistic.

Obtain the critical value and complete the test (that is, determine if you should reject or not reject the null hypothesis).

then data I have gathered so far

Call:

lm(formula = INC ~ GEN + EDU + EDUxGEN + AGE + AGE2, data = dat)

Residuals:

Min 1Q Median 3Q Max

-3911.2 -1027.5 -160.5 785.9 16244.5

Coefficients:

Estimate Std. Error t value Pr(>|t|)

(Intercept) -3588.510 767.608 -4.675 3.20e-06 ***

GEN -1194.448 418.012 -2.857 0.00433 **

EDU 124.479 28.563

EDUxGEN 99.178 36.140

AGE 265.010 32.021 8.276 2.75e-16 ***

AGE2 -2.941 0.360 -8.170 6.42e-16 ***

---

Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1

Residual standard error: 1601 on 1518 degrees of freedom

Multiple R-squared: 0.1157, Adjusted R-squared: 0.1128

F-statistic: 39.73 on 5 and 1518 DF, p-value: < 2.2e-16