a. Explanation Calculation: In document, of 300 sentences, none of sentences found to begin with the word “whereas”. Denote p as the population proportion of sentence that begins with the word “whereas” in the document that was written by the unknown author and it is given by 0.10. Step 1: Assumptions Here, the data are categorized by sentence begins with word “whereas” and sentence that do not begins with word “whereas”. Therefore, the data are categorical and the data are selected at random. Check the conditions: Condition 1: n p 0 ≥ 15 n p 0 = 300 ( 0.10 ) = 30 ≥ 15 Condition 1: n ( 1 − p 0 ) ≥ 15 n ( 1 − p 0 ) = 300 ( 1 − 0.10 ) = 300 ( 0.90 ) = 270 ≥ 15 Since n p 0 and n ( 1 − p 0 ) are greater than 15, the sample size requirement is met. Step 2: Hypotheses Null hypothesis: H 0 : p = 0.10 That is, the population proportion of sentence that begins with the word “whereas” in the document was written by the unknown author is 0.10. Alternative hypothesis: H a : p ≠ 0.10 That is, the population proportion of sentence that begins with the word “whereas” in the document was written by the unknown author is different from 0.10. It is given that the significance level is 0.05 b. To determine State the assumptions needed for the conclusion to be valid.

Statistics: The Art and Science of Learning from Data (4th Edition)

4th Edition

ISBN: 9780321997838

Author: Alan Agresti, Christine A. Franklin, Bernhard Klingenberg

Publisher: PEARSON

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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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Chapter 9, Problem 80CP

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State the conclusion of the hypothesis test at a significance level of 0.05 using the 5 step process.

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State the assumptions needed for the conclusion to be valid.

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Chapter 9, Problem 79CP

Chapter 9, Problem 81CP

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Chapter 9 Solutions

Statistics: The Art and Science of Learning from Data (4th Edition)

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State the conclusion of the hypothesis test at a significance level of 0.05 using the 5 step process.

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State the conclusion of the hypothesis test at a significance level of 0.05 using the 5 step process.

State the assumptions needed for the conclusion to be valid.

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Chapter 9 Solutions