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39 The accompanying data have a correlation coefficient, rounded to three decimal places, of 0.583. Perform a hypothesis test with the data to determine if

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The accompanying data have a correlation coefficient, rounded to three decimal places, of 0.583. Perform a hypothesis test with the data to determine if the population correlation coefficient p is not equal to zero using D = 0.10. Click the icon to view the sample data. Click the icon to view an excerpt from a table of Student's t-distribution values. Table of critical t-distribution values What are the correct null and alternative hypotheses? Sample data O A. Ho P=0 Student's t-distribution H1 : p#0 Probabilities under the t-distribution Curve OB. Hop > 0 3 6 1 6 6 y 9 5 5 7 1 Tall 0.200 0.100 0.050 0.025 0.010 0.005 H1: P=0 2 Tall 0.400 0.200 0.100 0.050 0.020 0.010 OC. Ho: P=0 Conf Lev 0.600 0.800 0.900 0.950 0.980 0.990 H1 : P > 0 df Print Done 1 1.376 31.82 OD. Ho- P#0 3.078 6.314 12.706 63.657 1.061 1.886 2.920 4.303 6.965 9.925 H1 P=0 AWN 0.978 1.638 2.353 3,182 4.541 5.841 What is the test statistic? 0.941 1.533 2.132 2.776 3.747 4.604 0.920 1.476 2.015 2.571 3.365 4.032 1=(Round to three decimal places as needed.) a 0.906 1.440 1.943 2.447 3.143 3.707 What is the critical value? Select the correct choice below and fill in the answer box within your choice. 0.896 1.415 1.895 2.365 2.998 3.499 0.889 1.397 1.860 2.306 2.896 3.355 (Round to three decimal places as needed.) 0.883 1.383 1.833 2.262 2.821 3.250 OA. to= 10 0.879 1.372 1.812 2.228 2.764 3.169 O B. ta/2=+ What is the correct conclusion? O A. Do not reject Ho. There is not enough evidence from the sample to conclude that a relationship exists between the two Print Done O B. Do not reject Ho. There is enough evidence from the sample to conclude that a relationship exists between the two vari C. Reject Ho- There is enough evidence from the sample to conclude that a relationship exists between the two variables. O D. Reject Ho- There is not enough evidence from the sample to conclude that a relationship exists between the two variables

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