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The Practice of Statistics | 5th Edition | ISBN: 9781464108730 | Authors: Daren S. Starnes, Josh Tabor
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Now solved: Section II: Free Response Show all your work. Indicate clearly the methods

Chapter 6, Problem T6.12

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Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Ladies Home Journal magazine reported that 66% of all dog owners greet their dog before greeting their spouse or children when they return home at the end of the workday. Assume that this claim is true. Suppose 12 dog owners are selected at random. Let X = the number of owners who greet their dogs first. (a) Explain why it is reasonable to use the binomial distribution for probability calculations involving X. (b) Only 4 of the owners in the random sample greeted their dogs first. Does this give convincing evidence against the Ladies Home Journal claim? Calculate an appropriate probability to support your answer.

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QUESTION:

Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. Ladies Home Journal magazine reported that 66% of all dog owners greet their dog before greeting their spouse or children when they return home at the end of the workday. Assume that this claim is true. Suppose 12 dog owners are selected at random. Let X = the number of owners who greet their dogs first. (a) Explain why it is reasonable to use the binomial distribution for probability calculations involving X. (b) Only 4 of the owners in the random sample greeted their dogs first. Does this give convincing evidence against the Ladies Home Journal claim? Calculate an appropriate probability to support your answer.

ANSWER:

Step 1 of 3

a)

The four conditions for a binomial setting are: binary (success/failure), independent trials, fixed number of trials and probability of success is the same for each trial.

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