Briefly Identify the Following in Words or Equations as Appropriate $\hat { \beta }$

Essay

Briefly identify the following in words or equations as appropriate:
(a) p-value
(b) Sampling distribution of
$\hat { \beta }$ (c) Type I Error
(d) Level of significance
(e) Given $\hat { \beta }$ = 4.0 and SE ( $\hat { \beta }$ ) = 2.0, test the null hypothesis that $\beta$ = 0 (versus the alternative hypothesis that it does not equal zero) with 13 degrees of freedom at the 1% level of significance.