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Assume that we estimated the following model by OLS:     y =β₁ + β₂x + u. The sample size of the data is n=62. We calculated that the standard errors for β₁ and β₂ are se(β₁)=1 and se(β₂)=2. Also, the estimates for β₁ and β₂ are β₁=3 and β₂=5. We want to test:     H₀ : β₁ =5     H₁ : β₁ ≠5. for α=0.05 significance level. What is the p-value of the test?

Assume that we estimated the following model by OLS:     y =β₁ + β₂x + u. The sample size of the data is n=62. We calculated that the standard errors for β₁ and β₂ are se(β₁)=1 and se(β₂)=2. Also, the estimates for β₁ and β₂ are β₁=3 and β₂=5. We want to test:     H₀ : β₁ =5     H₁ : β₁ ≠5. for α=0.05 significance level. What is the p-value of the test?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Assume that we estimated the following model by OLS:

    y =β₁ + β₂x + u.

The sample size of the data is n=62. We calculated that the standard errors for β₁ and β₂ are se(β₁)=1 and se(β₂)=2. Also, the estimates for β₁ and β₂ are β₁=3 and β₂=5. We want to test:

    H₀ : β₁ =5
    H₁ : β₁ ≠5.

for α=0.05 significance level. What is the p-value of the test?

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