9. [-/5.31 Points] DETAILS BBUNDERSTAT12 9.3.007.MI. MY NOTES ASK YOUR TEACHER 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. 67 64 (a) Verify that Ex = 438, Zy = 276, Ex2 = 32264, Zy2 = 12806, Exy = 20295, and r = 0.823. Ex Ey Ex- Ey2 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 O Reject the null hypothesis, there is sufficient evidence that p > 0. O Reject the null hypothesis, there is insufficient evidence that p > 0. 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 = 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 = 69% successful free throws. (Round your answer to two decimal places.) % (e) Find a 90% confidence interval for y when x = 69. (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 B > 0. O Fail to reject the null hypothesis, there is insufficient evidence that B > 0. Fail to reject the null hypothesis, there is sufficient evidence that B > 0. (g) Find a 90% confidence interval for . (Round your answers to three decimal places.) lower limit upper limit Interpret its meaning. O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls within the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals decreases by an amount that falls outside the confidence interval. O For every percentage increase in s ccessful free throws, the percentage of successful field goals decreases by an amount that falls within the confidence interval. O For every percentage increase in successful free throws, the percentage of successful field goals increases by an amount that falls outside the confidence interval