Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

6th Edition

ISBN: 9781337115186

Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams, Jeffrey D. Camm, James J. Cochran

Publisher: Cengage Learning

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Textbook Question

Chapter 10.4, Problem 33E

Minnesota had the highest turnout rate of any state for the 2012 presidential election (United States Election Project website, February 9, 2013). Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 663 of 884 registered voters from rural Minnesota voted in the 2012 presidential election, while 414 out of 575 registered voters from urban Minnesota voted.

a. Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 presidential election.
b. What is the proportion of sampled registered voters in rural Minnesota that voted in the 2012 presidential election?
c. What is the proportion of sampled registered voters in urban Minnesota that voted in the 2012 presidential election?
d. At α = .05, test the political analysts’ hypothesis. What is the p-value, and what conclusion do you draw from your results?

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Chapter 10.4, Problem 32E

Chapter 10.4, Problem 34E

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Minnesota had the highest turnout rate of any state for the 2016 presidential election.† Political analysts wonder if turnout in rural Minnesota was higher than turnout in the urban areas of the state. A sample shows that 654 of 872 registered voters from rural Minnesota voted in the 2016 presidential election, while 378 out of 525 registered voters from urban Minnesota voted. (a) Formulate the null and alternative hypotheses that can be used to test whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2016 presidential election. (Let p1 = the population proportion of voters in rural Minnesota who voted in the 2016 election and p2 = the population proportion of voters in urban Minnesota who voted in the 2016 election.) H0: p1 − p2 ≤ 0 Ha: p1 − p2 > 0 H0: p1 − p2 ≠ 0 Ha: p1 − p2 = 0 H0: p1 − p2 < 0 Ha: p1 − p2 = 0 H0: p1 − p2 ≥ 0 Ha: p1 − p2 < 0 H0: p1 − p2 = 0 Ha: p1 − p2 ≠ 0 (b) What is the…

According to the Centers of Disease Control, about 22% of American young people between the ages of 12 and 19 are obese.A student claims that the students his local schools are in better shape than the national average, so their proportion of obese students is less than 22%. Which are the appropriate null and alternative hypotheses for this study? H0: p = 22%, H1: p < 22% H0: p = 22%, H1: p ≠ 22% H0: p ≠ 0, H1: p = 0 H0: p = 22%, H1: p > 22% Suppose that the result of the statistical is to reject H0.Which is the proper conclusion? There is not sufficient evidence to conclude that the students at his local schools have a smaller true proportion of obese students. There is sufficient evidence to conclude that the students his local schools have a smaller true proportion of obese students. There is not enough information to answer this question.

Chapter 10 Solutions

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

Ch. 10.1 - The following results come from two independent...Ch. 10.1 - 2. Consider the following hypothesis test. The...Ch. 10.1 - 3. Consider the following hypothesis test. The...Ch. 10.1 - 4. Condé Nast Traveler conducts an annual survey...Ch. 10.1 - 5. The USA Today reports that the average...Ch. 10.1 - Hotel Price Comparison. Suppose that you are...Ch. 10.1 - Consumer Reports uses a survey of readers to...Ch. 10.1 - Increases in Customer Satisfaction. Will improving...Ch. 10.2 - The following results are for independent random...Ch. 10.2 - Consider the following hypothesis test: The...

Ch. 10.2 - Consider the following data for two independent...Ch. 10.2 - Prob. 12E Ch. 10.2 - Annual Cost of College. The increasing annual cost...Ch. 10.2 - Are nursing salaries in Tampa, Florida, lower than...Ch. 10.2 - Hotel prices worldwide are projected to increase...Ch. 10.2 - Effect of Parents’ Education on Student SAT...Ch. 10.2 - Comparing Financial Consultant Ratings....Ch. 10.2 - Researchers at Purdue University and Wichita State...Ch. 10.3 - Consider the following hypothesis test. The...Ch. 10.3 - The following data are from matched samples taken...Ch. 10.3 - Prob. 21E Ch. 10.3 - The price per share of stock for a sample of 25...Ch. 10.3 - Credit Card Expenditures. Bank of America’s...Ch. 10.3 - Domestic Airfare. The Global Business Travel...Ch. 10.3 - Prob. 25E Ch. 10.3 - PGA Tour Scores. Scores in the first and fourth...Ch. 10.3 - Price Comparison of Smoothie Blenders. A personal...Ch. 10.4 - Consider the following results for independent...Ch. 10.4 - Prob. 29E Ch. 10.4 - Corporate Hiring Outlook. A Businessweek/Harris...Ch. 10.4 - Impact of Pinterest on Purchase Decisions. Forbes...Ch. 10.4 - Mislabeled Fish. Researchers with Oceana, a group...Ch. 10.4 - Minnesota had the highest turnout rate of any...Ch. 10.4 - Oil wells are expensive to drill, and dry wells...Ch. 10.4 - In a test of the quality of two television...Ch. 10.4 - Winter visitors are extremely important to the...Ch. 10.4 - Prob. 37E Ch. 10 - Prob. 38SE Ch. 10 - SUV Lease Payments. Statista reports that the...Ch. 10 - Prob. 40SE Ch. 10 - Kitchen Versus Bedroom Remodeling Costs. The...Ch. 10 - Effect of Siblings on SAT Scores. In Born...Ch. 10 - Country Financial, a financial services company,...Ch. 10 - Prob. 44SE Ch. 10 - Prob. 45SE Ch. 10 - News Access Via Computer. The American Press...Ch. 10 - For the week ended January 15, 2009, the bullish...

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Solution Summary: The author states the null and alternative hypotheses.

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