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 40. 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, you are to follow the seven steps 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
H0 : p = 0.43
Ha : p ≠ 0.43
Test : Because Ha 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
H0 : μ = 18.7
Ha : μ ≠ 18.7
Test : Because Ha contains the ≠ symbol, the test is a
two-tailed hypothesis test.
Section 7.2: Hypothesis Testing 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
ROBYN GALINDO
1
MM207 Unit 7: Hypothesis Testing for Means and Proportions
Total points are 40. 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, you are to follow the seven steps 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
H0 : p = 0.43
Ha : p ≠ 0.43
Test : Because Ha 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
H0 : μ = 18.7
Ha : μ ≠ 18.7
Test : Because Ha contains the ≠ symbol, the test is a
two-tailed hypothesis test.
Section 7.2: Hypothesis Testing 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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Document Details
University
Kaplan University School of Business and Management
Subject
Mathematics