Competency Formulate and evaluate hypothesis tests for population parameters based on sample statistics using both Critical Regions and P-Values, and be able to state results in a non-technical way that can be understood by consumers of the data instead of statisticians. Dealing with Two Populations Inferential statistics involves forming conclusions about a population parameter. We do so by constructing confidence intervals and testing claims about a population mean and other statistics. Typically, these methods deal with a sample from one population. We can extend the methods to situations involving two populations (and there are many such applications). This deliverable looks at two scenarios. Concept being Studied Your focus is on hypothesis tests and confidence intervals for two populations using two samples, some of which are independent and some of which are dependent. These concepts are an extension of hypothesis testing and confidence intervals which use statistics from one sample to make conclusions about population parameters. What to Submit Your research and analysis should be presented on the spreadsheet provided below.

Let’s consider the US national debt and the US population as a function of time.1. The current population of the United States is 317,000,000.The current national debt total is $17,000,000,000.Based on these figures, use algebraic equations to calculate the approximate amount ofdebt per citizen. Show all of your work.2. For the purposes of this project, assume that population growth is a linear function thatgrows at a steady, unchanging rate of 0.9% per year, and that debt growth is a linearfunction that grows at a steady, unchanging rate of 13% per year.Use the population and debt figures from #1. Show all of your work.Find the linear equation for population in slope-intercept form.Find the linear equation for debt in slope-intercept form.3. Graph the linear equation for population growth and debt in separate graphs. Label thevalues of the x- and y-axes and title the graph. Show x from 0 (current year) to 30 (30years from now). Determine what the population and national debt will be 30 years fromnow. Calculate what the debt per citizen will be in 30 years. Show all your work. 4. Using calculations from #1 and # 3, calculate the population, national debt, and debt percitizen in 10 and 20 years from now. Complete the table below with your calculations: Time (years)     Debt ($)                        Population         Debt/Citizen0                       17,000,000,000            317,000,000102030Graph the function that shows the amount of debt per citizen as a function of time. Labelthe values of the x- and y-axes and title the graph. Show x from 0 (current year) to 30(30 years from now). Identify the ordered pairs at x = 0, 10, 20 and 30 years either onthe graph or below it. Is this a linear function? Why or why not? 5. If the current compound interest rate on our national debt is 8% (compounded annually),what will the national debt be in 5, 10, and 20 years? The current national debt is$17,000,000,000. Show equations for all three calculations. Please find the exact values,do not round.6. At what point does the compound interest on the national debt double the amount fromthe current year? The current national debt is $17,000,000,000. Solve algebraically, andshow all of your work. Find the exact value. Assume the interest rate is 8% and theinterest rate is compounded annually.