A statistician fits a regression model (n = 107, p = 6) and tests whether the coefficient she cares about is 0. Choose one or more of the options below. Explain briefly.

(i) The null hypothesis says that β2 = 0.

(ii) The null hypothesis says that βˆ

2 = 0.

(iii) The null hypothesis says that t = 0.

(iv) The alternative hypothesis says that β2 = 0.

(v) The alternative hypothesis says that βˆ

2 = 0.

(vi) The alternative hypothesis says that t = 0.
(vii) The alternative hypothesis says that βˆ
2 is statistically significant.