OLS estimates of the multiple regression model:

SE(βˆ2)

where βˆ0, βˆ1, and βˆ2 are the estimates of the coefficients, and SE(βˆ0), SE(βˆ1), and SE(βˆ2) are the standard errors of the estimates.

I need help with this question:

c. Write down the steps you would use to find the p-value for the statistical significance test for 2. Now suppose βˆ2 = 2.1 and SE(βˆ2) = 1. Find the p-value.

I know the test statistic is tˆ = [ βˆ2 / SE(βˆ2) ]

So tˆ = [ 2.1 / 1 ] = 2.1

I know p = Pr ( | Z | > | tˆ | )

And I know is a=5% reject the null hypothesis is p < 0.05

I’m having trouble finding the p-value. Please explain.

Thanks.

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