... the case just comes from rounding up. So really, a more exact p-value is the one corresponding to a t of 1.05, or p-value = 0.306.) Thus, even though the estimated coefficient is positive, our hypothesis test tells us that the evidence that it is different from zero is not very strong. Similarly, in Regression 3, the estimated coefficient on Dum Copy is -3.00. This indicates that the "rational" copy seems to give higher average sales than the "emotional" copy. The t-value given here is -1.7 and the number of degrees of freedom = 20. Therefore the associated p-value for the hypothesis test with null that the true coefficient equals 0 is 0.1046. Thus, while still not overwhelmingly strong, we do have moderately strong evidence that the true coefficient is different from zero. In particular, if we wanted to prove that the true coefficient on Dum Copy in Regression 3 was ...

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