Using the sample proportion of 30 out of 50 students that saw the spinning dancer spin clockwise (see Exercise 3.2.11), answer the following:
a. Using the Theory-Based Inference applet, determine a 95% confidence interval for the probability a randomly chosen student would see the woman spinning clockwise.
b. Using the Theory-Based Inference applet, determine a 95% confidence interval for the probability a randomly chosen student would see the woman spinning counterclockwise.