Refer to the simulation in Activity 2 at the end of the section.
a. Repeat the simulation, now assuming that actually p = 0.45. In a large number of simulations, what proportion of the time did you make a Type II error at the significance level of 0.05? What does theory predict for this proportion?
b. Do you think that the proportion of Type II errors will increase, or decrease, if actually p = 0.50? Check your intuition by conducting another simulation.
c. Refer to part a. Do you think that the proportion of Type II errors will increase, or decrease, if the sample size in each simulation is 50 instead of 116? Check your intuition by conducting another simulation.