MM207 Unit 7: Hypothesis Testing for Means and Proportions

Explores hypothesis testing methods in statistical analysis.

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MM207 Unit 7 Chapter 7 ProjectROBYN GALINDO1MM207 Unit 7: Hypothesis Testing for Means and ProportionsTotal points are40. Points are included with each problem.Included with each section or problem are reference examples and end of sectionexercises that can be used as a guide.Be sure to show your work incase partialcredit is awarded.To receive full credit, work must be shown if applicable.The guidelines for hypothesis testing are foundat the end of this document.To receive full credit, you are to follow the sevenstepsand label them bythese guidelines.Section 7.1:Introduction to Hypothesis Testing1.State the claim mathematically. Then write the null and alternativehypothesis.Determine whether the hypothesis test is left-tailed, right-tailed,or two-tailed.(References:Definition of a statistical hypothesis onpage 365, example 1 on page 366and example 3 on page 371;end ofsection exercises19–22 page 375,23–28 page 376)a.In a recent poll, it was found that 43% of registered U.S.voters wouldvotefor the incumbent president. If 100 registered voters weresampled randomly, it was found that 35% would vote of theincumbent. Test the claim that the actual proportion is 43%.(4points)Answer:claim:43% of registered voters would vote incumbentH0:p = 0.43Ha:p≠0.43Test :Because Hacontains the≠symbol, the test is a two-tailed hypothesis test.b.Convicted murderers receive a sentence of an average of 18.7 years inprison. A criminologist wants to perform a hypothesis test todetermine whether the meansentence by one particular judge differsfrom 18.7 years.(4points)Answer:claim:average of 18.7 years in prisonH0:μ= 18.7Ha:μ≠18.7Test :Because Hacontains the≠symbol, the test is atwo-tailed hypothesis test.Section7.2:Hypothesis Testing for the Mean (LargeSamples)Use the guidelines at the end of the project.2.Convicted murderers receive a sentence of an average of 18.7 years inprison. A criminologist wants to perform a hypothesis test to determinewhether the mean sentence by one particular judge differs from 18.7 years. Arandom sample of 40 cases from the court files from this judge is taken. It is

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University

Kaplan University School of Business and Management

Course

MM 207

Subject

Mathematics

MM207 Unit 7: Hypothesis Testing for Means and Proportions

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