Suppose that (Y,. X,) satisfy the assumptions specified here. A random sample of n = 280 is drawn and yields Where the numbers in parentheses are the standard errors of the estimated coefficients A-8.69 and 2, -4.89 respectively. Suppose you wanted to test that is zero at the 5% level. That is, Report the f-statistic and p-value for this test. Based on the p-value computed above, would you reject the null hypothesis at the 5% level? A. No B. Yes Constructa 95% confidence interval for = 8.69+ 4.89x, R² -0.75, SER=4.3 (4.8) (4.2) Supposed you leamed that, a were independent. Would y OA Nowould be surprised because the null hypothesis that is zero was not rejected at the 5% significance level OB. No, would be surprised because the null hypothesis that is zero was rejected at the 5% significance level OC. Yes, I would be surprised because the null hypothesis that, is zero was rejected at the 5% significance level OD. Yes, I would be surprised because the null hypothesis that, is zero was not rejected at the 5% significance level OA The null hypothesis would be rejected in 5% of the samples OB. The null hypothesis would be rejected in 90% of the samples OC. The null hypothesis would be rejected in 95% of the samples OD. The null hypothesis would be rejected in 10% of Ho: P₁=0 vs. Hy: ₁0 The f-statisticis (Round your response to two decimal places) The p-value is (Round your response to two decimal places) The 95% confidence interval for D (Round your response to two decimal places) Suppose that Y, and X, are independent and many samples of size 280 are drawn and regressions estimated. Suppose that you test the null hypothesis that is zero at the 5% level and constructa 95% confidence in in what fraction of the samples would the nul hypothesis that is zero at the 5% level be rejected? In what fraction of the samples would the value ₁ = 0 be included in the 95% confidence interval for ₁? O A. 90% of the confidence intervals would contain the value ₁ = 0. OB. 10% of the confidence intervals would contain the value B₁ = 0. OC. 95% of the confidence intervals would contain the value ₁ = 0. OD. 5% of the confidence intervals would contain the value ₁ = 0.