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A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 64%. b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the p -value? c. At α = .05, what is your conclusion? d. Should the national brand ketchup manufacturer be pleased with this conclusion? Explain.

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STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884
BuyFind

STATISTICS F/BUSINESS+ECONOMICS-TE...

13th Edition
Anderson
Publisher: CENGAGE L
ISBN: 9781305881884

Solutions

Chapter
Section
Chapter 9.5, Problem 38E
Textbook Problem

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup.

  1. a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 64%.
  2. b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the p-value?
  3. c. At α = .05, what is your conclusion?
  4. d. Should the national brand ketchup manufacturer be pleased with this conclusion? Explain.

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Chapter 9 Solutions

STATISTICS F/BUSINESS+ECONOMICS-TEXT
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Ch. 9.3 - Consider the following hypothesis test: H0: = 15...Ch. 9.3 - Consider the following hypothesis test: H0: 80...Ch. 9.3 - Consider the following hypothesis test: H0: 50...Ch. 9.3 - Consider the following hypothesis test: H0: = 22...Ch. 9.3 - Individuals filing federal income tax returns...Ch. 9.3 - In a study entitled How Undergraduate Students Use...Ch. 9.3 - The mean hourly wage for employees in...Ch. 9.3 - Young millennials, adults aged 18 to 34, are...Ch. 9.3 - The Internal Revenue Service (IRS) provides a...Ch. 9.3 - Annual expenditure for prescription drugs was 838...Ch. 9.3 - Fowle Marketing Research, Inc., bases charges to a...Ch. 9.3 - CCN and ActMedia provided a television channel...Ch. 9.4 - Consider the following hypothesis test: H0: 12...Ch. 9.4 - Consider the following hypothesis test: H0: = 18...Ch. 9.4 - Consider the following hypothesis test: H0: 45...Ch. 9.4 - Consider the following hypothesis test: H0: = 100...Ch. 9.4 - Which is cheaper: eating out or dining in? The...Ch. 9.4 - A shareholders group, in lodging a protest,...Ch. 9.4 - The national mean annual salary for a school...Ch. 9.4 - The time married men with children spend on child...Ch. 9.4 - The Coca-Cola Company reported that the mean per...Ch. 9.4 - According to the National Automobile Dealers...Ch. 9.4 - The mean annual premium for automobile insurance...Ch. 9.4 - Joans Nursery specializes in custom-designed...Ch. 9.5 - Consider the following hypothesis test: H0: p =...Ch. 9.5 - Consider the following hypothesis test: H0: p .75...Ch. 9.5 - The U.S. Bureau of Labor Statistics reports that...Ch. 9.5 - A study by Consumer Reports showed that 64% of...Ch. 9.5 - What percentage of the population live in their...Ch. 9.5 - Last year, 46% of business owners gave a holiday...Ch. 9.5 - Ten years ago 53% of American families owned...Ch. 9.5 - According to the University of Nevada Center for...Ch. 9.5 - Eagle Outfitters is a chain of stores specializing...Ch. 9.5 - One of the reasons health care costs have been...Ch. 9.5 - The American Association of Individual Investors...Ch. 9.6 - consider the following hypothesis test. H0: 10...Ch. 9.6 - Consider the following hypothesis test. H0: = 20...Ch. 9.6 - Fowle Marketing Research, Inc., bases charges to a...Ch. 9.6 - A consumer research group is interested in testing...Ch. 9.6 - Young Adult magazine states the following...Ch. 9.6 - Refer to exercise 48. Assume the firm selects a...Ch. 9.6 - Sparr Investments, Inc., specializes in...Ch. 9.7 - Consider the following hypothesis test. H0: 10...Ch. 9.7 - Consider the following hypothesis test. H0: = 20...Ch. 9.7 - Suppose the project director for the Hilltop...Ch. 9.7 - A special industrial battery must have a life of...Ch. 9.7 - Young Adult magazine states the following...Ch. 9.7 - An automobile mileage study tested the following...Ch. 9 - A production line operates with a mean filling...Ch. 9 - At Western University the historical mean of...Ch. 9 - Young children in the United States are exposed to...Ch. 9 - The Wall Street Journal reported that bachelors...Ch. 9 - Data from the Office for National Statistics show...Ch. 9 - A recent issue of the AARP Bulletin reported that...Ch. 9 - The chamber of commerce of a Florida Gulf coast...Ch. 9 - In Hamilton County, Ohio, the mean number of days...Ch. 9 - On December 25, 2009, an airline passenger was...Ch. 9 - An airline promotion to business travelers is...Ch. 9 - Members of the millennial generation are...Ch. 9 - The unemployment rate for 18- to 34-year-olds was...Ch. 9 - A radio station in Myrtle Beach announced that at...Ch. 9 - In recent years more people have been working past...Ch. 9 - Shorney Construction Company bids on projects...Ch. 9 - A federal funding program is available to...Ch. 9 - H0: = 120 and Ha: 120 are used to test whether...Ch. 9 - Quality Associates, Inc. Quality Associates, Inc.,...Ch. 9 - Ethical Behavior of Business Students at Bayview...

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