the null hypothesis - h0 beta0 0 h0 beta1 0 h0

Question

The Null Hypothesis - H0: β0 = 0, H0: β₁ = 0, H0: β₂ = 0, Β_i = 0

The Alternative Hypothesis - H1: β0 ≠ 0, H0: β₁ ≠ 0, H0: β₂ ≠ 0, Β_i ≠ 0      _{i =0, 1, 2, 3}

Reject H0 if |t | > t?¹             = 1.96155 or Reject H0 when P-value ≤ α = 0.05

 

Predictor         Coef     SE Coef       T      P    VIF

Constant       0.37593     0.01341   28.04  0.000

totexp     -0.00131710  0.00005581  -23.60  0.000  1.045

age          0.0016462   0.0003019    5.45  0.000  1.038

nk            0.031672    0.004676    6.77  0.000  1.007

Inverse Cumulative Distribution Function

Student's t distribution with 1499 DF

P( X <= x )        x

      0.975  1.96155

Since the constant = 28.04 > 1.96155 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.      

Since the totexp = -23.60 < 1.96155 (CV) and the P-Value is ≤ α = 0.05, there is evidence to suggest that H0 should be accepted according to the T value however the P-Value suggest otherwise but it is not significant.

Since the age = 5.45 > 1.96155 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.      

Since the nk = 6.77 > 1.96155 (CV) and the P-Value is ≤ α = 0.05, H0 would be rejected as there is sufficient evidence.