Set Up the Null Hypothesis and Alternative Hypothesis Carefully for the Following

Essay

Set up the null hypothesis and alternative hypothesis carefully for the following cases:
(a)k = 4, test for all coefficients other than the intercept to be zero
(b)k = 3, test for the slope coefficient of X₁ to be unity, and the coefficients on the other explanatory variables to be zero
(c)k = 10, test for the slope coefficient of X₁ to be zero, and for the slope coefficients of X₂ and X₃ to be the same but of opposite sign.
(d)k = 4, test for the slope coefficients to add up to unity