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) .
-Which of the following statements correctly interprets this interval?
A) We are 95% confident that the proportion of the 50 students sampled that saw the spinning dancer spinning clockwise is between 0.45 and 0.73.
B) We are 95% confident that the probability a randomly chosen student would see the spinning dancer spinning clockwise is between 0.45 and 0.73.
C) If we were to collect another sample of 50 students, there is a 95% probability that the sample proportion who see the spinning dancer spinning clockwise would be between 0.45 and 0.73.
D) We are 95% confident that the long-run proportion of students who would see the spinning dancer spinning clockwise is 0.60.
Correct Answer:
Verified
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