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. A 95% theory-based confidence interval for π is (0.45, 0.73) .
-Based on this interval, is there statistical evidence that the long-run probability a randomly chosen student would see the woman spinning clockwise is larger than 50%?
A) Yes, since most of the interval is larger than 50%.
B) Yes, since 0.50 is not contained in the interval.
C) No, since 0.50 is contained in the interval.
D) No, since our sample size was not large enough.
Correct Answer:
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