Question 10 [2 points) A 99% theory-based confidence interval forfl'l: in the Spinning Dancer study is {0.4215I 0.??35] Which of the following statements correctly interprets this interval? 0 We are 99% confident that the long-run proportion of students who would see the spinning dancer spinning clockwise is 0.60. 0 We are 99% condent that the proportion of the 50 students sampled that saw the spinning dancer spinning clockwise is between 0.4215 and 0.7785 . 0 If we were to collect another sample of 50 students, there is a 99% probability that the sample proportion who see the spinning dancer spinning clockwise would be between 0.4215 and 0.2785. 0 We are 99% confident that the probability a randomly chosen student would see the spinning dancer spinning clockwise is between 0.4215 and 0.7?35. Question 11 [2 points) Suppose your null and alternative hypotheses for the Spinning Dancer Study are H0 : 11: = O. 50 Ha : 11: > 0. 50 A 99% theory-based condence interval for It is (0.4215, 0.7?35 ). Based on the confidence interval, do we have very strong evidence against the null hypothesis? 0 Yes, since 0.50 is not contained in the interval. 0 No, since our sample size was not large enough. 0 Yes, since most of the interval is larger than 50%. O No, since 0.50 is contained in the interval. Question 7 [2 points} Suppose we have a collection of the heights of all students at your college. Each of 250 people taking statistics using the Tintle textbook randomly takes a sample of 40 of these heights and constructs a 95% confidence interval for mean height of all students at the college. Which of the following statements about the confidence intervals is most accurate? 0 About 95% of the intervals will contain the population mean height. 0 About 95% of the intervals will be identical. 0 About 95% of the time, a student's sample mean height will be contained in his or her interval. 0 About 95% of the heights of all students at the college will be contained in these intervals. Question 8 [1 point] Suppose you are calculating a 95% confidence interval using repeated simulation with varying parameter values. At what signicance level can you reject the null hypothesis parameter? 0 Reject the parameter value when the p-value is smaller than 5 O Reject the parameter value when the p-value is smaller than 0.05 O Reject the parameter value when the p-value is larger than 95 O Reject the parameter value when the p-value is larger than 0.05 Using the case study information and the applet results, determine a 28D confidence interval for the long-mn probability a randomly chosen student would see the woman spinning clockwise. O {0.43, 05?} Q {0.46, 0.74} O {0.53, 0.57} O {0.36, 0.64} The spinning dancer (or silhouette illusion} is a moving image of a woman that appears to be spinning. Some people see her spinning clockwise and some see her spinning counterclockwise. A student showed other students this and found that 30 out of 50 (or 60%} saw her spinning clockwise. Question 9 [2 points} The student researcher was interested in the probability of a randomlyr chosen student that would see the dancer spinning clockwise. He created the following null distribution for this. \"H.509 Probabilityofsuccesstnl: mm Sample size [n]: anberotsampies: Animate: El r "" Total=4DDO 0.20 can an an nu no man Using the case study information and the applet results, determine a 25D confidence interval for the long-an probability a randomly chosen student would see the woman spinning clockwise