Using one of the methods in Chapter 4 of the Motulsky textbook, calculate 95% CIs from sample problems below in which results with two possible outcomes can be expressed as proportions (be sure to write the CI in the correct format):

• Twenty basketball free throws are attempted and 14 are successful. When sets of 20 free throws are repeated many times, calculate the 95% CI in which there is a 95% chance that the interval contains the percentage of successes in each set.
• A coin is flipped 100 times and lands on 'heads' 68 times. When sets of 100 flips are repeated many times, calculate the 95% CI in which there is a 95% chance that the interval contains the percentage of 'heads' in each set.