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Assume that we estimated the following model by OLS: y = + x + u. The sample size of the data is n=62. We calculated

Assume that we estimated the following model by OLS: y = + x + u. The sample size of the data is n=62. We calculated that the standard errors for and are se()=1 and se()=2. Also, the estimates for and are =3 and =5. We want to test: H : =6 H : <6. for =0.01 significance level. What is the outcome of the test? [We denote the estimates by bold font]

a.

The critical value is 2.39; t statistic is -3; we reject the null hypothesis.

b.

The critical value is -2.39; t statistic is -3; we fail to reject the null hypothesis.

c.

The critical value is -2.39; t statistic is -3; we reject the null hypothesis.

d.

The critical value is 2.39; t statistic is -3; we fail to reject the null hypothesis.

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