A professor has found that 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 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 - 75.82 -2.59x. The standard error of the slope of the least-squares regression line is approximately 1.68. Test for a significant linear relationship between the two variables by doing a hypothesis test regarding the population slope ]. (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.) (a) State the null hypothesis Ho and the alternative hypothesis H1. P Ho : I X H, : I (b) Determine the type of test statistic to use. (Choose one) 020 0:0 0