The proiessur of an introductory statistics course has found something interesting: there may be a relationship between scores on his first midterm and the number of years the test-takers have spent...

Extracted text: The proiessur of an introductory statistics course has found something interesting: there may be a relationship between scores on his first midterm and the 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 Español 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 y) is y = 82.52- 2.53x. The standard error of the slope of the least-squares regression line is approximately 1.55. %3D Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope B,: (Assume that the variable 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.) Aa (a) State the null hypothesis H and the alternative hypothesis H,. H :0 H :0 D (b) Determine the type of test statistic to use. (Choose one) ▼ O