Consider the following set of ordered pairs. 5 2 4 5 9 3 a) Calculate the correlation coefficient. b) Using a = 0.05, perform a hypothesis test to determine if the population correlation coefficient is less than zero. Click the icon to view a portion of the Student's t-distribution table. a) r= (Round to three decimal places as needed.) b) Determine the null and alternative hypotheses. Ho p Vo H 1 P VO The t-test statistic is (Round to three decimal places as needed.) The critical t-score(s) is(are) (Round to three decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic is the critical value, the One conclude that the population correlation coefficient is zero