Explanation Given info: α = 0.05 , x 1 = 270 ( = 27 % of 1 , 000 ) , n 1 = 1 , 000 , x 2 = 180 ( = 18 % of 1,000 ) , and n 2 = 1 , 000 Calculation: The hypotheses are given below: Null hypothesis: H 0 : p 1 = p 2 Alternative hypothesis: H a : p 1 ≠ p 2 Here, the test is two tailed test. Critical value: Step by step procedure to obtain the critical value using the MINITAB software: Choose Graph > Probability Distribution Plot choose View Probability > OK. From Distribution , choose ‘ Normal ’ distribution. Click the Shaded Area tab. Choose probability Value and Two Tail for the region of the curve to shade. Enter the probability value as 0.05 . Click OK . Output using the MINITAB software is given below: From the output, the critical value is ±1.96. Rejection region for a two-tailed test: If z < z 0 ( = − 1

Elementary Statistics 7th.ed. Instructor's Review Copy

7th Edition

ISBN: 9780134683584

Author: Larson

Publisher: PEARSON

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Chapter 8.4, Problem 16E

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To check: Whether the claim that the proportion of newlywed Hispanics who have a spouse of a different race or ethnicity is different from the proportion of newlywed blacks who have a spouse of a different race or ethnicity is support or not.

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Chapter 8.4, Problem 15E

Chapter 8.4, Problem 17E

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Elementary Statistics 7th.ed. Instructor's Review Copy

Ch. 8.1 - Classify each pair of samples as independent or...Ch. 8.1 - A survey indicates that the mean annual wages for...Ch. 8.1 - A travel agency claims that the average daily cost...Ch. 8.1 - What is the difference between two samples that...Ch. 8.1 - Explain how to perform a two-sample z-test for the...Ch. 8.1 - Describe another way you can perform a hypothesis...Ch. 8.1 - What conditions are necessary in order to use the...Ch. 8.1 - Prob. 5E Ch. 8.1 - Prob. 6E Ch. 8.1 - Independent and Dependent Samples In Exercises 58,...

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To check: Whether the claim that the proportion of newlywed Hispanics who have a spouse of a different race or ethnicity is different from the proportion of newlywed blacks who have a spouse of a different race or ethnicity is support or not.

Solution Summary: The author explains that the proportion of newlywed Hispanics who have a spouse of another race or ethnicity is different from that of blacks.

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To check: Whether the claim that the proportion of newlywed Hispanics who have a spouse of a different race or ethnicity is different from the proportion of newlywed blacks who have a spouse of a different race or ethnicity is support or not.

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Chapter 8 Solutions