The table displays the distribution of the percentage of different types of home heating sources for a large mountain city, as reported by the city newspaper. Type of Heating Source Wood Stove Electric Propane/Gas Solar Radiant Floor Percent 38% 26% 20% 16% A chi-square goodness-of-fit test will be performed using a simple random sample of 100 homes to investigate whether the proportion of homes heated with each source is the same as what is reported by the newspaper. Which of the following represents the alternative hypothesis of the test?     The proportions for the different heating systems match those reported by the newspaper. A At least one of the heating source proportions is the same as the corresponding proportion reported by the newspaper. B The heating sources are not evenly distributed between homes. C At least one of the heating source proportions is different from the proportion reported by the newspaper. D Wood stove heating represents the highest proportion of heating source.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The table displays the distribution of the percentage of different types of home heating sources for a large mountain city, as reported by the city newspaper.

Type of Heating Source Wood Stove Electric Propane/Gas Solar Radiant Floor
Percent 38% 26% 20% 16%

A chi-square goodness-of-fit test will be performed using a simple random sample of 100 homes to investigate whether the proportion of homes heated with each source is the same as what is reported by the newspaper. Which of the following represents the alternative hypothesis of the test?

 
 
  • The proportions for the different heating systems match those reported by the newspaper.

    A
  • At least one of the heating source proportions is the same as the corresponding proportion reported by the newspaper.

    B
  • The heating sources are not evenly distributed between homes.

    C
  • At least one of the heating source proportions is different from the proportion reported by the newspaper.

    D
  • Wood stove heating represents the highest proportion of heating source.

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