Suppose that data are obtained from 100 pairs of (x, y) and the sample correlation coefficient is 0.41. (a) Test the hypothesis Ho: p = 0 against H1: p # 0 with a = 0.01. Calculate the P-value. Round your answer to three decimal places (e.g. 98.765). the hypothesis Ho: p = 0. P-value= i (b) Test the hypothesis Ho: p = 0.4 against Hip # 0.4 with a = 0.1. Calculate the P-value. Round your answer to three decimal places (e.g. 98.765). the hypothesis Ho: p = 0.4. P-value= i (c) Construct a 95% two-sided confidence interval for the correlation coefficient. Round your answers to three decimal places (e.g. 98.765). HI SPS