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%) of them saw her spinning clockwise. The student researcher was interested in the proportion of people that would see the dancer spinning clockwise. He created the following null distribution for this:

a. Using the information provided above, determine a 2SD 95% confidence interval for the population proportion of people that would see the woman spinning clockwise.
b. Based on your confidence interval, can you conclude the population proportion of people that will see the woman spinning clockwise is greater than 50%? Explain.

Transcribed Image Text:

0.5 Probability of heads: 50 Number of tosses: Number of repetitions: 1000 V Animate Toss Coins Total = 1000 180 Mean = 0.503 SD = 0.070 %3D %3D 120 60 8.24 0.30 0.36 0.42 0.48 0.54 0.60 0.66 0.72