Question

Suppose that a​ researcher, using data on class size ​(CS​) and average test scores from 50 ​third-grade classes, estimates the OLS regression ModifyingAbove TestScore with caret equals 672.315 ​+ left parenthesis negative 5.1765 right parenthesistimesCS​, Upper R squared ​= 0.09​, SER​ = 9.1 ​(24.675​) ​(2.0806​) Construct a​ 95% confidence interval for beta 1​, the regression slope coefficient. The​ 95% confidence interval for beta 1​, the regression slope​ coefficient, is ​( nothing​, nothing​). ​(Round your responses to two decimal places.​) The ​t-statistic for the​ two-sided test of the null hypothesis Upper H 0​: beta 1 ​= 0 is nothing. ​(Round your response to four decimal places.​) The p​-value for the​ two-sided test of the null hypothesis Upper H 0​: beta 1 ​= 0 is nothing. ​(Round your response to four decimal places.​) Do you reject the null hypothesis at the 5​% ​level, at the 1​% ​level, or at​ both? A. The t​-statistic is greater than​ 1.96, so we can reject the null hypothesis at the 5​% level but not at the 1​% level. B. The t​-statistic is greater than​ 1.96, so we cannot reject the null hypothesis both at the 5​% level and at the 1​% level. C. The​ p-value is less than​ 0.05, so we can reject the null hypothesis at the​ 5% significance level. The p​-value is greater than​ 0.01, so we cannot reject the null hypothesis at the​ 1% significance level. D. The​ p-value is less than​ 0.05, so we cannot reject the null hypothesis at the​ 5% significance level. The p​-value is greater than​ 0.01, so we can reject the null hypothesis at the​ 1% significance level. The p​-value for the​ two-sided test of the null hypothesis Upper H 0​: beta 1 ​= negative 5.25 is nothing. ​(Round your response to four decimal places.​) Without doing any additional​ calculations, determine whether negative 5.25 is contained in the​ 95% confidence interval for beta 1. A. ​No, negative 5.25 is not contained in the​ 95% confidence interval for beta 1. B. ​Yes, negative 5.25 is contained in the​ 95% confidence interval for beta 1. The​ 90% confidence interval for beta 0 is ​( nothing​, nothing​). ​(Round your responses to two decimal place.​) Click to select your answer(s).

Answer 1