Question

Test each of the following sets of Goint) hypotheses: (b) A-0.15, A-10, A-A, β-0 In both cases, carry out the appropriate test from first principles (see (iv) above) and check your result using Stata's test command. Interpret your results. . reg sleep totwrk educ age agesq male spwrk75 gdhlth 706 Source I df Number of obs MS E7, 698) 7 2482705. 79 Prob >F 14.22 17378940.6 Model 0.0000 Residual 121860895 698 174585.81 R-squared Adi R-squared 0.1248 0.1160 + = Total 139239836 705 197503.313 Root MSE 417.83 Std. Err. [95% Conf. Interval] Coef sLeep -.1977636 21.78474 totwrk -.1619808 .0182252 8.89 0.000 -.126198 1.904515 educ -9.940112 6.032809 age -6.56580711.33305 agesa.1019037.1355199 male | 87.9716734.61854 1.65 0.100 -0.580.563 -28.81677 15.68515 -.1641719 20.00272 0.75 0.452 3679793 2.54 0.011 155.9406 spwrk75 .2.014303 32.26267-0.060.950-65.35782 61.32921 gdhlth -67.5061353.12671 36.80118 1.27 0.204 171.8134 cons 3836.766 235.6672 16.28 0.000 3374.064 4299.467

Answer 1

a)

F = 14.22

p-value = P(F > 14.22) = 0.000

since

p-value < alpha

we reject the null hypothesis

we conclude that the model is overall significant