The accompanying data have a correlation coefficient, rounded to three decimal places, of 0.559. Perform a hypothesis test with the data to determine if the population correlation coefficient p is not equal to zero using a = 0.01 Click the icon to view the sample data. Click the icon to view an excerpt from a table of Student's t-distribution values. What are the correct null and alternative hypotheses? OA. Ho: P= 0 Hy: p#0 OB. Ho: P#0 H1 : p = 0 O C. Ho: p > 0 H1 : p = 0 OD. Ho: P = 0 H, : p >0 What is the test statistic? t=(Round to three decimal places as needed.) What is the critical value? Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) OA. ta/2 = +The accompanying data have a correlation coefficient, rounded to three decimal places, of 0.559. Perform a hypothesis test with the data to determine if the population correlation coefficient p is not equal to zero using a = 0.01. Click the icon to view the sample data. Click the icon to view an excerpt from a table of Student's t-distribution values. H 1 : p > 0 What is the test statistic? t=(Round to three decimal places as needed.) What is the critical value? Select the correct choice below and fill in the answer box within your choice. (Round to three decimal places as needed.) OA. to/2 = + OB. to= What is the correct conclusion? O A. Do not reject Ho- There is enough evidence from the sample to conclude that a relationship exists between the two variables. O B. Reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two variables. O C. Reject Ho. There is enough evidence from the sample to conclude that a relationship exists between the two variables. O D. Do not reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two variables.The accompanying data have a correlation coefficient, rounded to three decimal places, of - X using a = 0.01. Table of critical t-distribution values Click the icon to view the sample data. Click the icon to view an excerpt from a table of Student's t-distribution values. -X Student's t-distribution data Probabilities under the t-distribution Curve 1 Tail 0.200 0.100 0.050 0.025 0.010 0.005 X 3 7 7 9 10 6 6 2 Tail 0.400 0.200 0.100 0.050 V 5 8 0.020 0.010 Conf Lev 0.600 0.800 0.900 0.950 0.980 0.990 dj 1.376 3.078 6.314 12.706 31.821 63.657 Print 1.061 1.886 2.920 4.303 6.965 Done 9.925 0.978 1.638 2.353 3.182 4.541 5.841 0.941 1.533 2.132 2.776 3.747 4.604 0.920 1.476 2.015 2.571 3.365 4.032 DO YOUAWN- OD. Ho: P= 0 0.906 1.440 1.943 2.447 3.143 3.707 Hy : p > 0 0.896 1.415 1.895 2.365 2.998 3.499 0.889 1.397 1.860 2.306 2.896 3.355 What is the test statistic? 0.883 1.383 1.833 2.262 2.821 3.250 t=(Round to three decimal places as needed.) 0.879 1.372 1.812 2.228 2.764 3.169 What is the critical value? Select the correct choice below and fill in the answer box within (Round to three decimal places as needed.) Print Done OA. ta/2 = +