In 2019, the percent of total labor force of the world that were women was about 39%. The United Nations wonders if the percentage of females in the labor force is the same in the United States. Representatives from the United States Department of Labor plan to check a random sample of over 10,000 employment records on file to estimate a percentage of females in the United States labor force. a. They select a random sample of 525 employment records and find that 229 of the people are female. Check the required conditions to construct a confidence interval. Provide a full explanation of each condition and how this problem meets them. (2 points) b. Make a 90% confidence interval. Show all calculator commands - no hand calculations allowed. (3 points) c. Use your interval to find the margin of error associated with this confidence interval. (1 point) d. Interpret the confidence interval in this context. (2 points) e. Should the representatives from the Department of Labor conclude that the percentage of females in their labor force is higher than the world's rate of 39%? Explain. (2 points)