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 y 42 39 48 51 44 (a) Verify that Ex = 438, Zy = 275, Ex? = 32264, Zy2 - 12727, Exy = 20231, and r = 0.827. Ex Ey Ex 2 Ey EX (b) Use a 5% level of significance to test the claim that p > 0. (Round your answers to two decimal places.) critical t Conclusion O 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. O Fail to reject the null hypothesis, there is sufficient evidence that p > 0. c) Verify that S. ~ 3.1191, a ~ 6.564, b = 0.5379, and x ~ 73.000. d) Find the predicted percentage y of successful field goals for a player with x = 77% successful free throws. (Round your answer to two decimal places.) % (e) Find a 90% confidence interval for y when x = 77. (Round your answers to one decimal place.) lower limit upper limit % (f) Use a 5% level of significance to test the claim that p > 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 A > 0. O Fail to reject the null hypothesis, there is insufficient evidence that B > 0. O Fall to reject the null hypothesis, there is sufficient evidence that p > 0. (9) Find a 90% confidence interval for p. (Round your answers to three decimal places.) lower limit upper limit