please show work so i know how to do it

6) Suppose you construct a 95% CI for an unknown proportion with an initial sample proportion of 0.5. For each of the scenarios described below, state whether the change described would result in the confidence interval width becoming wider, narrower, or staying the same, and give a (very) brief explanation as to why. (6 points) a. The sample size increases. b. The population size increases. c. The sample proportion increases. d. The confidence level increases