Explanation Calculation: The given information is that in a sample of 30 flips, 18 times she guesses correctly. Step 1: Assumptions Here, the data are categorized by correct guesses and incorrect guesses. Therefore, the data is categorical and the data is selected at random. Check the conditions: Condition 1: n p 0 ≥ 15 n p 0 = 30 ( 0.5 ) = 15 ( ≥ 15 ) Condition 1: n ( 1 − p 0 ) ≥ 15 n ( 1 − p 0 ) = 30 ( 1 − 0.5 ) = 15 ( ≥ 15 ) Since n p 0 and n ( 1 − p 0 ) are equal to 15, the sample size requirement is met. Step 2: Hypotheses Null hypothesis: H 0 : p = 0.5 That is, the proportion of correct guesses is 0.50. Alternative hypothesis: H a : p > 0.5 That is, the proportion of correct guesses is exceeds 0.50. Step 3: Test statistic Sample proportion: p ^ = x n = 18 30 = 0.6 Thus, the sample proprotion is 0.6. Standard error of the sample proportion: s e 0 = p 0 ( 1 − p 0 ) n = 0

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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Chapter 9, Problem 69CP

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Check whether the proportion of correct guesses is exceeds 0.50 by using the 5 step process and interpret it.

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Chapter 9, Problem 68CP

Chapter 9, Problem 70CP

Chapter 9 Solutions

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

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Check whether the proportion of correct guesses is exceeds 0.50 by using the 5 step process and interpret it.

Solution Summary: The author concludes that there is strong evidence to infer that the proportion of correct guesses is 0.50.

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Chapter 9 Solutions