Assignment:
An Internal Revenue Service manager is comparing the results of recent taxpayer interviews conducted by two auditors. Of 200 taxpayers audited by Ms. Smith, 30% had to pay additional taxes. Of 100 audited by Mr. Burke, only 19% paid additional taxes. At the 0.01 level of significance, can the manager conclude that Ms. Smith is a more effective auditor than Mr. Burke?
Provide complete and step by step solution for the question and show calculations and use formulas.