Explanation Given info: α = 0.05 , x 1 = 290 ( = 29 % of 1 , 000 ) , n 1 = 1 , 000 , x 2 = 270 ( = 27 % 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

7th Edition

ISBN: 9781323839577

Author: Larson

Publisher: Pearson Custom Publishing

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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 8.4, Problem 13E

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To check: Whether the claim that the proportion of newlywed Asians who have a spouse of a different race or ethnicity is the same as the proportion of newlywed Hispanics who have a spouse of a different race or ethnicity is reject or not.

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Chapter 8.4, Problem 12E

Chapter 8.4, Problem 14E

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To check: Whether the claim that the proportion of newlywed Asians who have a spouse of a different race or ethnicity is the same as the proportion of newlywed Hispanics who have a spouse of a different race or ethnicity is reject or not.

Solution Summary: The author explains that the proportion of newlywed Asians with a different race or ethnicity is not rejected.

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To check: Whether the claim that the proportion of newlywed Asians who have a spouse of a different race or ethnicity is the same as the proportion of newlywed Hispanics who have a spouse of a different race or ethnicity is reject or not.

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Chapter 8 Solutions