Application Questions (60 Credits) When answering the hypothesis testing questions, please follow the five-step template: 1) Defining hypotheses, 2) Specifying the confidence and significance levels, 3) Choosing the test, 4) Getting the p-value using R, 5) Conclusion. In step 4), provide necessary R functions. 21. A broker is studying two foundations and the success rates of their investments. The data are listed in the table below: Success Failure Total Foundation A Foundation B Total 15 5 4 19 8 13 20 12 32 Define hypothesis and test whether the two foundations have homogeneous success rates. 22. A sample of accounting practices (straight line, declining balance, or both) in three countries (France, Germany, and United Kingdom) is saved in "Accounting Practice" spreadsheet. a. Define and test whether the ratio of the three accounting practices (straight line: declining balance: both) is the same as 8:5:7 at 95% confidence level. b. Define and test whether the proportions of accounting practices are homogeneous in the three countries at 5% significance level. 23. The manager of a retail chain wants to determine whether mean monthly store traffic is dependent on one of the four regions of the country. The manager collects monthly store traffic data from 10 randomly selected stores in each of the four regions. The data is saved in the "Store Traffic" spreadsheet. Use the data to find out an answer for the manager at 99% confidence level.