Problem 7. points) Veterans-State officials in diferent states across the US. want to estimate the true proportion of adults in their states who have served on active duty in the United States Armed Forces Round all calculated answers to 4 decimal places where appropriate. Remaining time: 53:38 (minsec) 1. Suppose the state officials in the state of Arkansas want to estimate the true proportion of adults in Arkansas who have served on active duty in the United States Armed Forces with 95% confidence and a margin of error of no more than 2.96%. If they have no prior sample data for the proportion, how many adults would they need to survey to accomplish this? NOTE: Round your value to exactly 3 decimal places for this calculation. 2. State officials in Missouri take a random sampia of 40 asut residents and find that 61 have served on active duty in the United States Armed Forces. Construct a 95% confidence interval for the true proportion of adults in Missouri who have served on active duty in the United States Armed Forces 3. State oficials in Washington colect a random sample of 500 adults in their state and construct a 30% confidence interval for the true proportion of adults in Washington who have served on active duty in the United States Armed Forces to be 0.1053, 0.1547) Which of the following statements are appropriato interpretations in the context of this inference procedure? Select all that apply A. There is a 90% chance that a new sample of the same size will give a sample proportion between 0.1053 and 0.1547 B. Officials in Washington can be 0016 confident that the true proportion of adults in Washington who have served on active duty in the United States Armed Forces is contained in the interval constructed above C. There is a 50% chance that the true proportion of adults in Washington who have served on active duty in the United States Armed Forces is contained in the interval constructed above. D. Washington officials took 100 random samples of the same size and constructed 100 confidence intervais they could expect approximately 50 of the intervals would contain the true proportion of adults in Washington who have served on active duty in the United States Armed Forces 4. Percy is a college student at a university in Washington, Percy uses the sample results from his state's confidence interval as shown in part 31 and calculates a 90% confidence interval for the true proportion of adults Washington who have served on active duty in the United States Armed Forces. Percy's interval will have a margin of error that is eve margin of error for the interve constracted by the Washington officias Note You can eam partial credit on this problem SAVE and preview answers