Hypothesis testing using regression: (a) Using regression output, conduct a hypothesis test at the = 0 . 05 significance level to answer the question located in the description of the dataset. i. (3pts) State the null and alternative hypothesis in terms of regression coef- ficients. ii. (3pts) Give the t -statistic for this hypothesis test. iii. (2pts ) Under the null hypothesis, this t -statistic has a t -distribution with how many degrees of freedom? iv. (3pts) Give the p -value for your test statistic. v. (3pts) Define what a p -value is in 2 sentences or less. vi. (3pts) What do you conclude for your research question? (b) (5pts) Form a 95% confidence interval for the true value of this regression co- efficient