Let x be a random variable that represents the percentage of successful free throws a professional basketball player makes in a season. Let y be a random variable that represents the percentage of successful field goals a professional basketball player makes in a season. A random sample of n = 6 professional basketball players gave the following information. x 67 64 75 86 73 73 42 40 48 51 44 51 (a) Verify that Ex = 438, Ey = 276, Ex2 = 32264, Ey2 = 12806, Exy = 20295, and r = 0.823. Ex Ey Ex- Ey Exy (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. Fail to reject the null hypothesis, there is sufficient evidence that p > 0. c) Verify that S ~ 2.9785, a ~ 8.997, b = 0.5069, and x = 73.000. d) Find the predicted percentage y of successful field goals for a player with x = 85% successful free throws. (Round your answer to two decimal places.) % (e) Find a 90% confidence interval for y when x = 85. (Round your answers to one decimal place.) lower limit % upper limit % (f) Use a 5% level of significance to test the claim that , > 0. (Round your answers to two decimal places.) critical t Conclusion O Reject the null hypothesis, there is sufficient evidence that B > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. g) Find a 90% confidence interval for B. (Round your answers to three decimal places.) lower limit upper limit