(Solution) - Consider the NFL data introduced in Exercise 11 4 a Estimate -(2025 Original AI-Free Solution)

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Consider the NFL data introduced in Exercise 11-4.
(a) Estimate the correlation coefficient between the number of games won and the yards rushing by the opponents.
(b) Test the hypothesis H0: p = 0 versus H1: p = 0 using a = 0.05. What is the P-value for this test?
(c) Construct a 95% confidence interval for p.
(d) Test the hypothesis H0: p = - 0.7 versus H1: p ( - 0.7 using a = 0.05. Find the P-value for this test.