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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 Project ROBYN GALINDO 1 MM207 Unit 7: Hypothesis Testing for Means and Proportions Total points are 4 0 . Points are included with each problem. Included with each section or problem are reference examples and end of section exercises that can be used as a guide. Be sure to show your work in case partial credit is awarded . To receive full credit, work must be shown if applicable. The guidelines for hypothesis testing are found at the end of this document. To receive full credit, y ou are to follow the seven step s and label them by these guidelines. Section 7.1 : Introduction to Hypothesis Testing 1. State the claim mathematically. Then write the null and alternative hypothesis. Determine whether the hypothesis test is left - tailed, right - tailed, or two - tailed. (References: Definition of a statistical hypothesis on page 365, example 1 on page 366 and example 3 on page 371; end of section exercises 19 – 22 page 375, 23 – 28 page 376 ) a. In a recent poll, it was found that 43% of registered U.S. voters would vote for the incumbent president. If 100 registered voters were sampled randomly, it was found that 35% would vote of the incumbent. Test the claim that the actual proportion is 43%. ( 4 points) Answer: claim : 43% of registered voters would vote incumbent H 0 : p = 0.43 H a : p ≠ 0.43 Test : Because H a contains the ≠ symbol, the test is a two - tailed hypothesis test. b. Convicted murderers receive a sentence of an average of 18.7 years in prison. A criminologist wants to perform a hypothesis test to determine whether the mean sentence by one particular judge differs from 18.7 years. ( 4 points) Answer: claim : average of 18.7 years in prison H 0 : μ = 18.7 H a : μ ≠ 18.7 Test : Because H a contains the ≠ symbol, the test is a two - tailed hypothesis test. S ection 7.2: Hypothesis Tes t ing for the Mean (Large Samples) Use the guidelines at the end of the project . 2. Convicted murderers receive a sentence of an average of 18.7 years in prison. A criminologist wants to perform a hypothesis test to determine whether the mean sentence by one particular judge differs from 18.7 years. A random sample of 40 cases from the court files from this judge is taken. It is

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