In this problem, we use your critical values table to explore the significance of r based on different sample sizes. Critical Values for Correlation Coefficient na- 0.05 3 1.00 « - 0.01 a- 0.05 a- 0.01 a- 0.05 a- 0.01 1.00 13 0.53 0.68 23 0.41 0.53 4 0.95 0.99 14 0.53 0.66 24 0.40 0.52 0.88 0.96 15 0.51 0.64 25 0.40 0.51 6. 0.81 0.92 16 0.50 0.61 26 0.39 0.50 7 0.75 0.87 17 0.48 0.61 27 0.38 0.49 0.71 0.83 18 0.47 0.59 28 0.37 0.48 0.67 0.80 19 0.46 0.58 29 0.37 0.47 10 0.63 0.76 20 0.44 0.56 30 0.36 0.46 0.60 0.73 21 043 0.55 12 0.58 0.71 22 0.42 0.54 (a) Is a sample correlation coefficient p = 0.86 significant at the a = 0.01 level based on a sample size of n = 3 data pairs? What about n = 12 data pairs? (Select all that apply.) O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 12 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 3 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 12 and a = 0.01. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 3 and a = 0.01. O No, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 12 and a = 0.01. O No, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 3 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 3 and a = 0.01. O Yes, because the absolute value of the given correlation coefficient is greater than or equal to that for a sample size of n = 12 and a = 0.01. (b) Is a sample correlation coefficient p = 0.40 significant at the a = 0.05 level based on a sample size of n = 18 data pairs? What about n = 30 data pairs? (Select all that apply.) O Yes, because the absolute value of the given correlation coefficient is smaller than that for a sample size of n = 30 and a = 0.05.