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Political Science: Voters This problem is based on information taken from The Rating Guide to Life in America's Fifty States, by G. S. Thomas. A random sample of n 1 = 288 voters registered in the state of California showed that 141 voted in the last general election. A random sample of n 2 = 216 registered voters in the state of Colorado showed that 125 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance.

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Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
Publisher: Cengage Learning
ISBN: 9781337558075

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Chapter
Section
BuyFindarrow_forward

Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
Publisher: Cengage Learning
ISBN: 9781337558075
Chapter 10.3, Problem 10P
Textbook Problem
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Political Science: Voters This problem is based on information taken from The Rating Guide to Life in America's Fifty States, by G. S. Thomas. A random sample of n 1 =   288 voters registered in the state of California showed that 141 voted in the last general election. A random sample of n 2 =   216 registered voters in the state of Colorado showed that 125 voted in the most recent general election. Do these data indicate that the population proportion of voter turnout in Colorado is higher than that in California? Use a 5% level of significance.

(a)

To determine

The level of significance and state the null and alternative hypotheses.

Explanation of Solution

The level of significance, α=0.05. Let p1 be the population proportion of voter turnout in Californiaand p2 be the proportion population proportion ofvoter turnout in Colorado

(b)

To determine

The sampling distribution to be used and explain the assumptions and also find the value of the sample test statistic.

(c)

To determine

To find: The P-value of the sample statistic and sketch the sampling distribution and show the area corresponding to the P-value.

(d)

To determine

Whether we reject or fail to reject the null hypothesis and whether the data statistically significant at level α.

(e)

To determine

To explain: The conclusion in the context of application.

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Chapter 10 Solutions

Understanding Basic Statistics
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Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - For Problems 9-17 assume that the distribution of...Ch. 10.1 - Expand Your Knowledge: Confidence Intervals for d...Ch. 10.1 - Critical Region Method: Student's t Solve Problem...Ch. 10.1 - Critical Region Method: Students t Solve Problem...Ch. 10.2 - Statistical Literacy Consider a hypothesis test of...Ch. 10.2 - Statistical Literacy Consider a hypothesis test of...Ch. 10.2 - Statistical Literacy Consider a hypothesis test of...Ch. 10.2 - Critical Thinking When conducting a lest of the...Ch. 10.2 - Critical Thinking Josh and Kendra each calculated...Ch. 10.2 - Critical Thinking If a 90% confidence interval for...Ch. 10.2 - Basic Computation: Paired Differences Test For a...Ch. 10.2 - Basic Computation: Texting 12 Two populations have...Ch. 10.2 - Basic Computation: Testing- 12 A random sample of...Ch. 10.2 - Basic Computation: Testing 12 Two populations have...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Please provide the following information for...Ch. 10.2 - Expand Your Knowledge: Software Approximation for...Ch. 10.2 - Expand Your Knowledge: Pooled Two-Sample Procedure...Ch. 10.2 - Critical Region Method: Testing 12;1,2 Unknown...Ch. 10.2 - Critical Region Method: Testing 12;1,2Known Redo...Ch. 10.3 - Statistical Literacy Consider a hypothesis test of...Ch. 10.3 - Statistical Literacy Consider a hypothesis test of...Ch. 10.3 - Critical Thinking Consider two independent...Ch. 10.3 - Critical Thinking If a 90% confidence interval for...Ch. 10.3 - Basic Computation: Testing p1p2 For one binomial...Ch. 10.3 - Basic Computation: Testing p1p2 For one binomial...Ch. 10.3 - Federal Tax Money: Art Funding Would you favor...Ch. 10.3 - Art Funding: Politics Would you favor spending...Ch. 10.3 - Sociology: Trusting People Generally speaking,...Ch. 10.3 - Political Science: Voters This problem is based on...Ch. 10.3 - Extraterrestrials: Believe It? Based on...Ch. 10.3 - Art: Polities Do you prefer paintings in which the...Ch. 10.3 - Critical region Method: Testing p1p2 Redo Problem...Ch. 10.3 - Critical Region Method: Testing p1p2 Redo Problem...Ch. 10.3 - Basic Computation: Confidence Inters al for p1p2...Ch. 10.3 - Basic Computation: Confidence Interval for p1p2...Ch. 10.3 - Myers-Briggs: Marriage Counseling Isabel Myers was...Ch. 10.3 - Myers-Briggs: Marriage Counseling Most married...Ch. 10.3 - Navajo Culture: Traditional Hogans S. C. Jett is a...Ch. 10.3 - Archaeology: Cultural Affiliation "Unknown...Ch. 10.3 - Critical Thinking: Different Confidence Levels (a)...Ch. 10.3 - Focus Problem: Wood Duck Nests In the Focus...Ch. 10 - Statistical Literacy and Terminology When are two...Ch. 10 - 2. Statistical Literacy and Terminology When are...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - For each hypothesis test in Problems 3-10, please...Ch. 10 - Sweets May Not Be Culprit in Hyper Kids was a USA...Ch. 10 - In there a relationship between confidence...

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