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Let X equal the number of female children in a three-child

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman ISBN: 9780321923271 41

Solution for problem 5E Chapter 9.1

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 5E

Problem 5E

Let X equal the number of female children in a three-child family. We shall use a chi-square goodness-off it statistic to test the null hypothesis that the distribution of X is b(3, 0.5).

(a) Define the test statistic and critical region, using an α = 0.05 significance level.

(b) Among students who were taking statistics, 52 came from families with three children. For these families,

x = 0, 1, 2, and 3 for 5, 17, 24, and 6 families, respectively. Calculate the value of the test statistic and state your conclusion, considering how the sample was selected.

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Chapter 9.1, Problem 5E is Solved
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Textbook: Probability and Statistical Inference
Edition: 9
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

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Let X equal the number of female children in a three-child