All Minitab output and work must be shown to receive full credit. Partial credit will be given for showing the process. The entire lab report must be typed. 1. In the 2021 General Social Survey (GSS) respondents were asked if they favored or opposed the death penalty for people convicted of murder. As the researcher, you are concerned with the respondents who are in favor of the death penalty for people convicted of murder. The results can be found on Blackboard, "DeathPenalty", in the Minitab Lab Assignments folder. a. Determine, by hand, whether the sample size is large enough to safely use the normal distribution? (5 pts.) Mathematically justify. b. Using Minitab, find a 90% confidence interval for the proportion of all adults who are in favor of the death penalty for people convicted of murder. (5 pts.) (Minitab Output) c. Interpret the confidence interval in part b. (4 pts.) d. What is the margin of error in part b? Mathematically Justify. (5 pts.) e. Explain the effect of increasing the sample size on the confidence interval. (3pts.)