Suppose that data are obtained from 40 pairs of (x, y) and the sample correlation coefficient is 0.58. (a) Test the hypothesis Ho: p = 0 against H:p # 0 with a = 0.1. 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 Họ: p = 0.3 against H;:p # 0.3 with a = 0.01. Calculate the P-value. Round your answer to three decimal places (e.g. 98.765). the hypothesis Ho: p = 0.3. P-value= i (c) Construct a 99% two-sided confidence interval for the correlation coefficient. Round your answers to three decimal places (e.g. 98.765). i Sps i

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