The proiessur of an introductory statistics course has found something interesting: there may be a relationship between scores on his first midterm and thenumber of years the test-takers have spent at the university. For the 64 students taking the course, the professor found that the least-squares regressionEspañolequation relating the two variables number of years spent by the student at the university (denoted by x) and score on the first midterm (denoted by y) isy = 82.52- 2.53x. The standard error of the slope of the least-squares regression line is approximately 1.55.%3DTest for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B,: (Assume that the variable yfollows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two-tailed test. Then complete the parts below.(If necessary, consult a list of formulas.)Aa(a) State the null hypothesis H and the alternative hypothesis H,.H :0H :0D(b) Determine the type of test statistic to use.(Choose one) ▼O

Slatisties eourse has found sömething interesting: there may be a relationship between scores on his first midterm and the Español number of years the test-takers have spent at the university. For the 64 students taking the course, the professor found that the least-squares regression equation relating the two variables number of years spent by the student at the university (denoted by x) and score on the first midterm (denoted by v) is y= 82.52-2.53x. The standard error of the slope of the least-squares regression line is approximately 1.55. Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B,. (Assume that the varíable y follows a normal distribution for each value of x and that the other regression assumptions are satisfied.) Use the 0.05 level of significance, and perform a two- tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H. B H :0 H, :0 OSO (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 回国回|