The city council in a large city has become concerned about the trend toward exclusion of renters with children in apartments within the city. The housing coordinator has decided to select a random sample of 125 apartments and determine for each whether children are permitted. Let p be the proportion of all apartments that prohibit children. If the city council is convinced that p is greater than 0.75, it will consider appropriate legislation. a. If 102 of the 125 sampled apartments exclude renters with children, would a level 0.05 test lead you to the conclusion that more than 75% of all apartments exclude children? b. What is the power of the test when p = 0.8 and α = 0.05? (Hint: See Example 10.18.)

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Introduction To Statistics And Dat...

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Introduction To Statistics And Dat...

6th Edition
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Publisher: Cengage Learning,
ISBN: 9781337793612

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Chapter
Section
Chapter 10.5, Problem 67E
Textbook Problem

The city council in a large city has become concerned about the trend toward exclusion of renters with children in apartments within the city. The housing coordinator has decided to select a random sample of 125 apartments and determine for each whether children are permitted. Let p be the proportion of all apartments that prohibit children. If the city council is convinced that p is greater than 0.75, it will consider appropriate legislation.

  1. a. If 102 of the 125 sampled apartments exclude renters with children, would a level 0.05 test lead you to the conclusion that more than 75% of all apartments exclude children?
  2. b. What is the power of the test when p = 0.8 and α = 0.05? (Hint: See Example 10.18.)

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Chapter 10 Solutions

Introduction To Statistics And Data Analysis
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