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.

Question

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.

Quizplus · Accepted Answer

The Answer is (a) See page 135.
(b) See Section 4.2.
(c) See Section 5.1.
(d) See Section 5.2.
(e) t = 2.0, and the critical two-sided, 1%, 13 degree of freedom critical t-value is 3.012, so we can not reject the null hypothesis.

Briefly Identify the Following in Words or Equations as Appropriate β^\hat { \beta }β^​

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