Question: Given the same conditions as in Question 1, but now adding the standard errors for the intercept and slope in the parenthesis, respectively: y =15.4

Given the same conditions as in Question 1, but now adding the standard errors for the intercept and slope in the parenthesis, respectively: y =15.4 + 0.8x, R2 = 0.997, SER = 1.93. (1.497)(0.024) Assume the null and alternative hypothesis that we are interested to test is H0 : 1 =0.5vs.H1 : 1 =0.5 (a) Calculate the t-statistic and p-value, and determine whether we should reject H0 for 10% significance level. (b) Construct the 90% confidence interval and determine whether we should reject H0. (c) Whether the decision you make about whether rejecting the null hypothesis in (a) and (b) matches? Why or why not?

(d) Assume now the null and alternative hypothesis that we are interested to test becomes H0 : 1 =0vs.H1 : 1 =0.

Calculate the t-statistic and the 99% confidence interval, and determine whether we should reject H0 for 1% significance level.

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