Explanation Given info: α = 0.05 , x 1 = 140 ( = 56 % of 25 0 ) , n 1 = 250 , x 2 = 75 ( = 30 % of 25 0 ) , and n 2 = 250 . 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 one 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 Right 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:

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

7th Edition

ISBN: 9780134683584

Author: Larson

Publisher: PEARSON

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Chapter 8.4, Problem 20E

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To check: Whether the claim that the proportion of women who work 40 hours per week is greater than the proportion of women who work more than 40 hours per week is support or not.

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Chapter 8.4, Problem 19E

Chapter 8.4, Problem 21E

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Chapter 8 Solutions

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

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To check: Whether the claim that the proportion of women who work 40 hours per week is greater than the proportion of women who work more than 40 hours per week is support or not.

Solution Summary: The author explains how to obtain the critical value using the MINITAB software.

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To check: Whether the claim that the proportion of women who work 40 hours per week is greater than the proportion of women who work more than 40 hours per week is support or not.

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Chapter 8 Solutions