Suppose that we are examining the relationship between scores on a nationwide, standardized test and performance in college. We have chosen a random sample of 105 students just finishing their first year of college, and for each student we've recorded her score on the standardized test and her grade point average for her first year in college. The sample correlation coefficient / for our data is approximately 0.14. Based on these sample results, test for a significant linear relationship between the two variables score on this standardized test and first-year college grade point average by doing a hypothesis test regarding the population correlation coefficient p. (Assume that the two variables have a bivariate normal distribution.) 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 H.. P H :I 0-0 OSO (b) Determine the type of test statistic to use. (Choose one) 020 0:0 0-0 (c) Find the value of the test statistic. ( Round to agree or more decimal places.) X (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) and (e) Based on the sample results, can we conclude (using the 0.05 level) that there is a significant linear relationship between score on the standardized test and first-year college grade point average? Yes No