Question;IMPORTANT: Include your answers on this test and attach your Megastat output to the test.Clearly mark what it is you are submitting. THE FINAL EXAM DATA is on the course web site,listed as PA 502 Fall 2013 Exam 3.Two-sample hypothesis testing.Open the Final exam data Excel Workbook and click on the worksheet titled two-sample toanswer questions below.The Park Hill School District in the Northland of Kansas City wants to test whether differentthree different reading programs are more effective than others for accomplishing theireducational mission. The three programs will be implemented on an experimental design withrandom assignment to three groups and post-program comparison (you will do this in theANOVA problem below).You are hired to be the statistical consultant and you are tasked to randomly select a group ofstudents and test them for any differences in the pre-test phase the research design. Do a twosample hypothesis tests on whether there is significant differences between the two types ofpre-test being considered. IN OTHER WORDS, these are PAIRED OBSERVATIONS!.1. State the null and alternative hypotheses. Is this a two tail or one tail test?2. Identify the test statistic. What is the degrees of freedom?3. What is the critical value(s)?4. What is the decision rule?5. Is it reasonable to conclude that is there a difference in the amounts quoted (if so why, if notwhy not)?Correlation and Linear Regression:Use the following to answer questions below. Include your answers on this test and attach yourMegastat output to the test. Clearly mark what it is you are submitting.The data provided are state population based variables, average state income and percentageof state population 25 or older with a college education.The data are in the Final exam data Excel workbook in the worksheet titled Correlation andRegression.1. What is the statistical association between the two variables? Produce a scatter diagram tosupport your conclusion.2. Determine the coefficient of correlation between the two variables. Interpret the value. Do thepopulation hypothesis test of no correlation and state the results.3. What is the value of the standard error of estimate? Interpret the value in your answer.4. What is the value of the coefficient of determination?5. Provide an interpretation of the computed value for the coefficient of determination.6. What is the regression equation?Multiple RegressionPlease note: this data is ready for analysis in the PA 502 final exam spreadsheet in worksheetMultiple Regression. Include your answers on this test and attach your Megastat output to thetest. Clearly mark what it is you are submitting.The state of Missouri has hired you to produce a regression model for predicting average stateincome. Your first investigation is with an older database of state-level variables. Test the modelthat the two demographic variables, urbanization, and population density, and two educationvariables, percent with college degrees and the high school dropout rate.1. List the dependent variable and the independent variables.2. Conduct a global test of hypothesis for multiple regression. Use the 0.05 level of significanceand state the Critical F value for your decision rule. Explain what the global test of hypothesismeans, how do you interpret it in this case?3. Conduct a test of hypothesis for the individual regression coefficients. Use the 0.05 level ofsignificance. Would you consider deleting any of the independent variables (and explain why,based on the statistics)?4. What is the value of the standard error of estimate?5. What is the value of the coefficient of determination? Do you use the adjusted coefficient ofdetermination? If so, what is it?6. Provide an interpretation of the computed value for the coefficient of determination for allvariables, and for each independent variable (use the stepwise selection procedure), andexplain which variables you would keep in the model and which you would drop (statisticalevidence needs to be included).Nonparametric MethodsA recent study of the relationship between income and education showed the following results.IncomeLT25K25-50K50-75KGT75KtotalEducationAdvanceLT HSHSASSOC BA/BS dtotal2576539616866124024203416131360469135432172127823726525029710031733551942022Please note: this data is ready for analysis in the PA 502 exam 3 spreadsheet in worksheetNonparametric. Include your answers in this file, and cut and paste your Megastat outputbeneath your answer if applicable.1. The appropriate test to analyze the relationship between social activity and education is:2. The appropriate test statistic for the analysis is a:3. The null hypothesis for the analysis is:4. The degrees of freedom for the analysis is:5. Using 0.05 as the significance level, what is the critical value for the test statistic?6. What is the value of the test statistic?7. Which variable is the independent variable, which is the dependent variable, defend youranswer?8. Based on the analysis, what can be concluded?
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